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I^IBRARV 

OF  THE 

University  of  California, 


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Recerced     CJ^t^^j/^               •  iSg  n 
Accession  No.6  7d'  J  J^  •    Class  No. 


Digitized  by  tine  Internet  Arciiive 

in  2008  witii  funding  from 

IVIicrosoft  Corporation 


http://www.arcliive.org/details/franklinkeytowriOOseavricli 


KEY 


TO    THE 


FRANKLIN 


WRITTEN  ARITHMETIC 


BY 


EDWIN    P.  SEAVER,  A.  M. 

HEAD   MASTER    OF   THE   ENGLISH    HIGH    SCHOOL,    BOSTON  ;    FORMERLY    ASSISTANT 
PROFESSOR   OF   MATHEMATICS    IN    HARVARD   COLLEGE 


GEO.  A.  WALTON,  A.  M. 

AUTHOR  OF   WALTONS'    ARITHMETICS,    ARITHMETICAL    TABLES,    ETC. 


Uyi7BESn 


BOSTON 
WILLIAM    WARE    AND    COMPANY 

[Successors  to  Brewer  and  Tileston] 
1879 


6  7 


y  Si 


Copyright 

By  E    p.  SEAVER  and  G.  A.  WALTON. 

1878. 


University  Press:   John  Wilson  &  Son, 
Cambridge 


PREFACE. 


The  principal  part  of  this  Key  is  made  up  of  answers  to 
the  Examples  for  the  Slate,  including  answers  to  the  Exer- 
cises upon  the  Drill  Tables,  in  the  Franklin  Arithmetic.  In 
a  few  instances,  as  in  Partial  Payments,  in  the  Average  of 
Payments  and  of  Accounts,  the  partial  results  are  given,  or 
the  processes  indicated. 

The  Key  is  designed  especially  to  save  labor  for  the 
teacher;  it  is  to  give  him  the  meanS"  of  testing  the  results 
of  the  pupils'  work,  without  having  to  do  all  the  work 
himself. 

The  pupil  should  not  have  the  answer  to  his  problem  under 
his  eye  at  the  outset,  lest  he  perform  his  work  with  refer- 
ence to  that ;  he  ought  rather  to  form  the  habit  of  working 
solely  from  the  conditions  given  in  the  statement  of  the 
problem.  It  would  be  better,  even  then,  that  he  should  be 
able  to  test  his  own  work  by  some  method  of  proof,  or  by 
reviewing  his  processes.  But  next  to  this,  and  perhaps  all 
that  can  be  expected  in  the  majority  of  cases,  would  be  to 
let  him  compare  his  result  with  that  given  in  the  Key. 

Great  pains  have  been  taken  to  have  the  answers  correct. 
Yet  should  the  book  be  found  to  be  wholly  free  from 
errors,  it  would  be  a  gratifying  surprise  to  the  authors.  And 
they  would  earnestly  request  that  any  errors  which  may  be 
discovered  be  reported  to  the  publishers,  and  the  requisite 
corrections  will  be  promptly  made. 

Boston,  August,  1878. 


CONTENTS 


PAGE 

Answers  to  Examples ^ 

Answers  to  Drill  Exercises 33  to  85 

Simple  Numbers .        .        oo 

United  States  Money ^^ 

57 
Common  Fractions 

'  fi4 

Decimal  Fractions    .        • •    " 

Compound  Numbers       

78 
Percentage    

Extraction  of  Roots ^ 


KEY. 


Page  5. 

Ex. 

Ans. 

Page  19. 

Ex. 

Ans. 

57. 

0.039. 

Ex.         Ans. 

9. 

4,000. 

58. 

7.005. 

18.  1,038  miles. 

10. 

4,400. 

59. 

25.0049. 

19.  $77,277. 

11. 

4,040. 

60. 

0.00306. 

20.  12.297. 

12. 

4,004. 

61. 

0.05047. 

21.  $1814.155. 

22.  5.17  miles. 

Page  6. 

Page  15. 

23.  $33.70. 

13. 

8,422. 

1. 

12,880. 

24.  39.023  acres. 

14. 

356,890. 

15. 

60,065. 

2. 

757. 

25,  35.625  miles. 

16. 

1878. 

3. 

11,347. 

26.  $160.13. 

4. 

78,239. 

27.  $1,123.66. 

Page  7. 

5. 

664. 

28.  $1,034.33. 

17. 

46  thoiis.  520  units. 

6. 

1,135. 

29.  $886.84. 

18. 

406  tho.  502  units. 

7. 

135.237. 

30.  $289.87. 

19. 

1  million,  1  tbous. 

8. 

4.019. 

31.  $1,932.19. 

110  units. 

9. 

20.429. 

Page  22. 
1.   141  oranges. 

20. 
21. 

85,503,007. 
906,218,028. 

Page  18. 

22. 

3,037,900,200. 

10. 

2,316  bushels. 

2.  321  acres. 

23. 

18,000,000,004. 

11. 

6,776  pounds. 

24. 

40,700,000. 

12. 

12,785. 

Page  23. 

25. 

37,099,009,000,000. 

13. 

3,925  yards. 

3.  571. 

14. 

3,023  pounds. 

4.  102. 

Page  11. 

15. 

j  1,191  barrels. 

5.  8,272. 

53. 

0.7. 

I  $  8,259. 

6.  654. 

54. 

0.07. 

16. 

1,604  miles. 

7.  $357. 

55. 

0.007. 

17. 

j  7,329  acres. 
^  621,472  trees. 

8.  78  years. 

56. 

0.25. 

9.  972  years. 

KEY 


Page  24. 
Ex.  Arts. 

10.  2,771  oxen. 

11.  473  birds. 

12.  178.5. 

13.  $11.72. 

14.  999.999. 

Page  26. 

15.  750  bushels. 

16.  $297. 

17.  2,776  acres. 

18.  3,948  feet. 

19.  $1,881.87. 

20.  84  years. 

21.  $6,175. 

22.  215,174  bushels. 

23.  1,522  miles. 

24.  35,884. 

25.  27,333. 

26.  78,883. 

27.  110,121. 

28.  202,837. 

29.  298,122. 

30.  128,623. 

31.  881,803. 

32.  3  times;   440,111 

over. 

33.  139,886  feet. 

Page  27. 

34.  194.85  acres. 

35.  0.315. 

36.  0.515. 

37.  76.87. 

38.  7,551.5544. 

39.  906.975. 

40.  584.995. 

41.  11.086. 


Ex.        Ans. 

Ex.         Ans. 

42.  883.83. 

25.  40,907,020. 

43.  $89. 

26.   150,000. 

44.  715  persons. 

27.   112,000. 

45.  $2,058. 

(  168,300. 

46.  $20,060. 

28.  ]  1,683,000. 

47.  162  miles. 

(  16,830,000. 

48.  338  miles. 

29.  21,440,000. 

49.  712. 

30.  25,628. 

50.  $1,340. 

31.  66,912. 

32.  18,763. 

Page  30. 

33.  32,215. 

1.  980  pounds. 

34.  2,573,284. 

2.  1,032  pounds. 

35.  2,740,356. 

3.  $2,191. 

4.  $4,275. 

Page  33. 

5.  2,560  miles. 

36.  850. 

6.  407  days. 

37.  4,802. 

7.  63,360  feet. 

38.  79,576. 

Page  31. 

39.  368,400. 

40.  4,378,125. 

8.  5,124  <f'. 

41.  488,151. 

9.  $2,916. 

42.  46,215. 

10.  $2,856. 

43.  1,030,945. 

11.  5,156/. 

12.  $2,352. 

44.  3,834,432. 

45.  233,473,500,000. 

13.  3,913  cents. 

46.  381,840,480,000. 

14.  2,403. 

15.  11,.304. 

Page  34. 

16.  57,817. 

47.  43.24  ;  9,082.5. 

17.   1,890,441. 

48.  42.5454;  0.009. 

18.   1,-325,700. 

49.  24. 

19.  1,692,501. 

20.  650  cents. 

Page  36. 

21.  $10,000. 

50.  $  540  ;  $  2,700. 

22.  $8,250. 

51.  $5,100. 

f  41,400  stitches; 

Page  32. 

^2  J  496,800  stitches; 

23.  5,9.30,720. 

*  1  2,980,800  stitches 

24.  7,599,240. 

1155,001,600     " 

KEV. 


Ex.  Ans. 

53.   1,950,000  inbab. 
54   (  1,170,000  yards. 
*  (  60,840,000  yards. 

55.  180,000,000  lbs. 

56.  86,400  seconds. 

57.  91,289,796  miles. 

58.  16.25  hours. 

59.  36.225  acres. 

60.  $446.50. 

61.  $7,962.50. 

62.  336.8336. 

Page  37. 

63.  10,980  pounds. 

64.  3,000  feet. 

65.  3,586  feet. 

66.  $352. 

67.  $783. 

68.  479,232. 

69.  $518. 

70.  39,296  strands. 

71.  $27,000. 

72.  $121. 

73.  $  148. 

74.  33. 

Page  41. 

1.  634  cords. 

2.  268  hours. 

3.  405  hours. 

4.  983  packages. 

Page  42. 

5.  104  weeks;  2  rem. 

6.  323  cans;  3  rem. 

7.  16  years;  8  rem. 

8.  134  rows. 

9.  542  yds.;  10/ rem. 
10.  3,268  or.;  Sf  rem, 


Page  43. 
Ex.      Ans. 

11.  225/. 

12.  195|  miles. 

13.  $315|. 

14.  410-1  thousand. 

15.  $7,544|. 

16.  40,598f. 

17.  1,1111 

18.  3,07liV 

19.  37,341|. 

20.  l,443,002f 

21.  19,661,314|. 

22.  123,432. 

23.  20,551. 

24.  41,089. 

25.  10,917. 

26.  17.2811. 

27.  11,759.6. 

28.  $26.06. 

29.  $129.62. 

Page  45. 

30.  151 3\or  151.096... 

31.  224. 

32.  108||or 


33.  108||or 

34.  528ifor 

35.  345-f|or 


108.740. 
108.838. 
528.565. 
345.805. 
438.952. 
396.395. 


Page  46. 


39.  , 
I  1,2.36.506.. 

40.  4,158. 

41    i  7.753fi  or 
'  I  7,753.920.. 


Ex.  Ans. 

I  191.783... 


43. 


133.175. 


44  i  3,249J3V  or 
(  3,249.059... 

45  j  1,107|U  or 
■  I  1,107.843... 


Page  47. 

46.  $123.67. 

47.  $148.63. 

48.  $56,849. 

49.  2,775. 

50.  42,303.3248. 


Page  49. 

51.  6|^days. 

52.  28  barrels. 

53.  403i|  days. 

54.  103,^3  t%s. 

55.  oflll  miles. 

56.  197|^  acres. 

57.  133  boxes. 

58.  228  eggs. 

59.  $8.5.00. 

g(^   ($336,768; 
■  I  1,754  lbs. 

61.  295.875  acrei= 

62.  $1.12. 

63.  $0.03. 

64.  0.142... 

65.  0.312... 

66.  8.566... 

67.  0.385... 

68.  0.015... 

69.  0.008... 


acres 
tons, 
miles 


KEY. 


Page  50. 
Ex.  Ans. 

1.  5,095,768. 

2.  4,643. 

3.  53,291. 

4.  15,672  by  698. 

5.  13,702. 

6.  931,055. 

7.  76,350. 

8.  405,095,040. 

9.  17,240,192. 

10.  4. 

11.  876,232. 

12.  190. 

13.  2,488,496. 

14.  5,800. 

Page  52. 

15.  $1,678.00. 

16.  480  acres. 

17.  $1,592.00. 

18.  5,718  gallons. 

19.  23,831  men. 

20.  $390.00. 

21.  $35.25. 

22.  588  miles. 

23.  4,474  sq.  m. 

24.  5 States;  1,270sq.m. 

25.  5,538  sq.  m. 

26.  3;  4;  5,270  sq.  m. 

27.  30,000  lbs. 

Page  53. 

28.  660  pupils. 

29.  2,122  feet. 

30.  182  girls. 

31.  $1,960.00. 

32.  $136.00. 

33.  $1,436.40. 

34.  3,276  bush. 


Ex.  Ans, 

35.  $71.04. 

36.  $331.00. 

37.  $52.00. 

38.  Gained  $39. 

39.  90  days. 

Page  54. 

40.  14  posts  ;  65  rails, 

41.  $12,200. 

42.  $2,028. 

43.  28  days. 

44.  15  months. 

45.  $8.00. 

46.  134l|  acres. 

47.  $118.00. 

48.  4,997. 

49.  225  miles. 

50.  Gained  $161. 

51.  2,271;  2,053. 

Page  55. 

52.  $52,458. 

53.  2,323,200,000  cu.  ft. 

54.  883;  $56.15  left. 

55.  23||  hours. 

56.  $85.20. 

57.  50  days. 

58.  40  pieces. 

59.  3,711  years. 

60.  170  B.  c. 

61.  1438  a.  D. 

Page  56. 

62.  lOffl  years. 

63.  499  iVsVA  seconds. 
Pages  59,  61,  and  63. 

Answers  to  the  drill  ex- 
ercises on  tables  1,  2, 
and  3  will  be  found  on 
page  33  of  this  Key. 


Page  65. 
Ex.        Ans. 

1.  $118.98. 

2.  $62.91. 

Page  66. 

3.  $19.16;  $42.50. 

4.  $  16.60. 

5.  $61.31. 

6.  $36.88. 

7.  $21.75. 

8.  $952.56. 

9.  24. 

10.  288. 

11.  60  boxes;  20/ rem. 

12.  32  veils;  56  <^  rem. 
35  dinners; 


13 


$0,121  rem. 


Page  69. 

14.  $1,085.18. 

15.  $92.75. 

16.  $167.50. 

Page  70. 

17.  $74.69. 

18.  $5.16. 

Page  71. 

19.  $306.28. 

20.  $248.30. 

21.  $65.88. 

22.  $1,035.84. 

23.  $2.42. 

24.  $9.13. 

25.  

26.  $14.50. 

Page  73. 

For  answers  to  drill  ex- 
ercises on  Table  Xo.  4, 
see  page  53  of  this  Key. 


KEY. 


Page  74. 

Ex.  Ans. 

27.  $6.09. 

28.  Lost  50/'. 

29.  $4.80. 

30.  $36,649.62. 

31.  $292,318.04. 

32.  $9.92. 

33.  $1.25. 

34.  16  boys. 

35.  $137.05. 

36.  Whole,  $9.66;  ap 

pie,  25  <■' ;  peach 
28  "i';  pear,  55,^'. 

37.  $570. 

Page  78. 

1.  2,  2,  3,  3,  5. 

2.  2,  2,  2,  2,  2,  2,  3. 

3.  2,  2,  2,  2,  11. 

4.  2,  2,  2,  2,  13. 

5.  2,  2,  5,  13. 

6.  13,  13. 

7.  7,  47. 

8.  2,  13,  13. 

9.  3,  7,  17. 

10.  2,  2,  7,  23. 

11.  2,2,3,3,  19. 

12.  2,  2,  5,  5,  5,  5. 

13.  11,  31. 

14.  2,  2,  2,  43. 

15.  2,  181. 

16.  Prime. 

17.  2,  2,  2,  3,  17. 

18.  2,  3,  3,  5,  5. 

19.  2,  5,  59. 

20.  2,  2,  2,  2,  5,  7. 

21.  2,  2,  149. 

22.  13,  53. 


Ex.  Ans. 

23.  2,2,2,2,2,2,11. 

24.  3,  3,  79. 

25.  2,  3,  127. 

26.  2,  2,  2,  101. 

27.  2,  2,  11,  19. 

28.  3,  3,  3,  5,  7. 

29.  2,  2,  3,  3,  3,  3,  3. 

30.  2,2,2,2,2,2,2,3,7 

31.  2,  2,  3,  97. 

32.  2,  2,  2,  %  7,  29. 


a. 

70. 

9- 

15. 

6. 

46. 

h. 

18. 

c. 

10. 

i. 

2. 

cZ. 

2. 

J- 

11. 

e. 

11. 

k. 

8. 

/. 

5. 

I. 

75. 

Page  81. 

33.  4lf 

34.  3. 

35.  6|. 

36.  $2.50. 

37.  338  bushels. 

38.  175  feet. 

39.  306  dozen. 

40.  $12. 

41.  70  men's  work. 

42.  10  weeks. 

43.  24  days. 

44.  38f  yards. 

45.  4  months. 

46.  1,260  overcoats. 

Page  83. 

47.  4.  50.  6. 

48.  6.  51.  14. 

49.  9.  52.  13. 


Ex.  Ans.          Ex.  Ans. 

53.  1.          56.  6  feet. 

54.  6.          57.  3  feet. 

55.  3  feet.  58.  21  feet. 

Page  84. 

59.  17.         61.   1. 

60.  21.         62.   17. 

Page  86. 

63.  2,520. 

64.  180. 

65.  360. 

66.  840. 

67.  7,644. 

68.  3,744. 

69.  5,040. 

70.  2,520. 

Page  87. 

71.  75,712. 

72.  35,880. 
616. 
19,824. 
940,500. 
554,664. 
9,680. 
1,007,930. 


Page  9L 


1-i 

2.  |. 

3.  i. 

4.  f 

^      19 


7.  i 

8.  Wv 

10.  m- 

11.  AV 

12.  ifi- 


Page  92. 

13.  6\\. 

14.  8^V 

15.  IQlf 


10 


KEY 


Ex.     Arts. 

16.  47^. 

17.  280f 

18.  22^2.%. 

19.  49|  days. 

20.  \^\  years. 

Page  93. 

21.  ^K 
2-2,  ia^-9-. 

23.  ^K 

24.  n^. 

25.  V^^. 

26.  ^^. 

27.  ^^. 

28.  -^fP. 

90     3  9  9-2. 

Page  %. 

30.  2H- 

31.  2^V 

32.  1^. 

33.  H. 

34.  m- 

35.  1. 

36.  IH- 

37.  H^. 

38.  m- 

39.  l^Vo- 

40.  9H- 

41.  168t;VV 

42.  172^. 

43.  737H- 


Page  98. 


44. 


T8- 


45. 

W 

4ti. 

^■ 

47. 

35f 

48. 

16i. 

49.  59f. 

50.  11|. 

51.  4|. 

52.  24f 

53.  5J^. 

54.  14H- 

55.  3^^. 

Fifi      3_9 

57.  3-96- 

58.  ftV 

59.  m- 

60.   15^. 

OJ^-     ^^135- 

62. 


Ex.        Atis. 

80.  lUjV 

81.  262f. 

82.  14,244|. 

83.  4,623|. 

84.  7,906f. 


12 


9 
20 


63.  i+-h-m 

64.  7||  miles. 

65.  4,650^"^6  miles. 

Page  99. 

66.  9-^  barrels. 

67.  $51.70. 

68.  lif. 


Page  100. 

70.  15|  A. 

71.  42f  yd. 

72.  103^  rd. 

73.  192^  miles. 

74.  660"ft. ;  5,280  ii . 

75.  187^  pounds. 

76.  2,150|in. 

77.  502^  days. 

Page  101. 

78.  160^  days. 

79.  132f 


85. 
86. 
87. 
88. 
89. 
90. 
91. 

92. 

93. 

94. 

95. 

96. 

97. 


Page  102. 

$403.13. 
124|  bu. 
217^  oz. 
262f  qt. 
$  80.63. 
177|  lb. 
$  34.29. 
204. 
473^. 

107^. 

15,746^. 

20,143|. 

25,788f 


Page  104. 

98.  ^. 

99.  i-,. 

100.  |. 

101.  ^V 

102.  M- 

103.  l|f. 

104.  202|. 

105.  72ii 

106.  U  m. 

107.  $267A^, or $267.31. 

108.  $470A,or.$470.31. 

109.  ^\. 

110.  $9^%%ov$9.U. 

111.  420. 

112.  ^V 

113.  |. 


KEY. 


11 


Page  105. 

Ex.  A71S. 

114.  ^. 

115.  3ffi. 

116.  f  or  If 

117.  m- 

118.  ^V 

119.  7f 

Page  106 

120.  M  in. 


Page  107. 


121.    15 


15 


122.  5|yd. 

123.  5|rd. 

124.  22|ift. 

125.  3^^. 

126.  ^f^. 

127.  ^3- 

128.  ro«3T- 

129.  10^4^. 


130. 

m 

131. 

m- 

132. 

13|f. 

133. 

¥^- 

134. 

i;34|. 

Page  109. 

135. 

AV- 

136. 

lis- 

137. 

5\. 

138. 

14,661. 

139. 

1,152. 

140. 

9,720. 

141. 

132  lb. 

142. 

205  ft. 

143. 

21|. 

144. 

70. 

Ex.  Ans 

145.  140. 

146.  96. 

147.  1^\. 

148.  Iff. 

149.  3. 

150.  If- 

151.  24  bu.;  I65  bu. 

152.  250. 

Page  110. 

153.  12,307i%ya. 

154.  6323  rd. 

155.  28f  breadths. 

156.  15|iyd. 

157.  24(Vif  lengths. 

158.  2i-|4  sq.  rods. 

159.  8  francs. 

160.  If. 

161.  |. 

162.  7|f. 

163.  ^^. 

164.  U. 

165.  |. 

166.  ^. 

167.  If 

168.  ^V 

169.  ^Hir- 

170.  3f 

171.  28f 

172.  ^^. 

173.  If. 

^  '  ■*•     3893- 

175.  22 


Page  112. 

176.  18. 

177.  38f 

178.  1^^. 


Ex         Ans. 
179.-  13^. 


182.  lif. 

183.  1363.80. 

184.  f  acre. 

185.  $660,000. 

186.  $576. 

187.  $2,724.15. 

188.  $4,225.92. 

^gg    (  Intantry,  4,200; 

(  Cavalry,  600. 
^^^    j  1st  y.  1,840  bu. 

\  2d  y.  2,300  bu. 

191.  165. 

192.  330  fowls. 

Page  114. 

193.  fi- 

194.  ^1^. 

195.  f 

196.  $21;  $15;  $24; 

$12. 

197.  |.  Ex.      Ans. 

198.  1.  202.  ^3. 

199.  J^.  203.  f 

200.  '^%.  204.  i-l^. 

201.  ^-i^.  205.  lf|. 
206.  1    f,  I  f,  f  I 


iV,   T%- 

Page  115. 

207. 

208. 

59ii. 
25||. 

209. 
210. 
211. 
212. 

35,750. 

39M- 
45,600. 

18,262f 

12 


KEY. 


Page  117. 

Ex.        Ans. 

Ex.          Ans. 

Ex.              Ans. 

247.  127l|. 

278.  4|days. 

213.  2x2x3x5x7. 

248.  $37.34. 

279.  51- days. 

214.  3|. 

249.  $2.60. 

280.  6^2^  days. 

215.  7. 

216.  252. 

Page  120. 

Page  123. 

217.  M  ;  \h 

250.  25||  days. 

For  answers  to  drill  ex- 

218. ^^8^-^  ;  «p. 

251.  ll-i^f. 

ercises  on  Table  Ko.  5, 
see  page  5  7  of  this  Key. 

219.  137f ;  6. 

252.  $2.16. 

^-m^m^m- 

253.  $18,000;  $27,000. 

Page  126. 

221.  |l;M;^. 

254.  $36.50. 

1.   0.070. 

222.  9|  ;  7841. 

255.  $3,600;  $450. 

,-,    (  0.400  ;  0.750  ; 
"'  (  2.500  ;   1.060. 

223.  llf  ;  ^. 

256.  144|feet. 

224.  29f  ;  37;  Z^^. 

257.  793|idays. 

3   j  0.0030;  1.7500; 

225.  4ff . 

258.  15|rods. 

■  I  0.0060. 

226.  H;  3V 

259.  l^. 

4.  3.000;  3.0000. 

227.  ^v ;  -^ ;  ItV 

260.  $  143.75. 

[  7.0     7.00     7.0000 

228.  If. 

261.  89||. 

5.140.0  40.00  40.0000 

229.  39^  mile.s. 

262.  95if|  sq.  yds. 

[37.0  37.00  37.0000 

230.  $6.25. 

263.  1^. 

6.  |.            16.  |. 

231.  $31.50. 

264.  $33.89. 

7.  |.          17.  -M-z- 

232.  Amt.  $  85.78. 

8.  ^V        18.  |. 

Page  121. 

9.  |.           19.  f. 

Page  119. 

265.  i^  119-931; 
(  623^  fr. 

10.  |.           20.  ^1^. 

233.  $8.75. 

11.  I.           21.  J,. 

234.  $8.17. 

266.  216  lb. 

12.  I           22.  ^Ifl^. 

267.  25|f  lb. 

13.  ^.           23.  i 

14.  |.           24.  V-. 

235.  $8,523.54. 

236.  $  14.63. 

268.  $5,833.33. 

237:  $  7.29. 

269.  $8.75. 

270.  21f  miles. 

15.  I.           25.  f 

238.  25;. 

o 

271.  27|^  hours. 

Page  127. 

239.  $11,623.13. 

240.  $14,262.50. 

272.  $825.42. 
273    1 6.3^^ 

26.  0.625. 

27.  0.35.^ 

241.  $21.66. 

242.  $55.91. 

274.  $42,666.67. 
(  800  in  all. 

2s.  0.024! 

29.  3.0625. 

243.  5^7_  i^^o. 

275.  <  160G.,200F.,80Sc., 

30.  5.125. 

244.  $52.80. 

(     100E.,120Sw. 

31.  20.03125. 

245.  2^V 

276.  $600.00. 

32.  1.078125. 

246.  114||. 

277.  ZU  days. 

33.  8.75. 

KEY. 


13 


Ex. 

Ans. 

Ex     Ans.        Ex.    Ans. 

34. 

17.1171875. 

^0-  a^'  "'•  H- 

35. 

1.0612. 

71.  |4.       78.  ^. 

36. 

0.0475. 

72.  3V       79.  ^f 0. 

37. 

0.03125. 

73.  ^Vl-     8t).  eV- 

38. 

2.225. 

74.  f         81.   li^. 

39. 

2.975. 

75.  f         82.  fflH- 

40. 

1.6075. 

76.  If.       83.  -Vo¥o^-. 

41. 

16.9875. 

Page  131. 

42. 

%  54.59. 

43. 

111.875. 

84.  0.432. 

44. 

$4.70. 

85.  0.918. 

45. 

16.485  acres. 

86.  1.5. 

46. 

1.9307734... 

87.  4.704. 

88.  42. 

Page  128. 

89.  4.704. 

47. 

2.1071. 

90.  10.23. 

48. 

58.6881. 

91.  0.01648. 

49. 

0.3724. 

92.  0.37418. 

50. 

11.5953  hours. 

93.  0.648. 

51. 

139.8837  rods. 

94.  128.94. 

95.  1.516. 

Page  129. 

96.  220. 

52. 

0.3. 

97.  93.16f. 

53. 

0.83. 

98.   1.0125. 

54. 

0.428571. 

99.  153.5625. 

55. 

0.5. 

100.  462.825. 

56. 

0.916. 

101.  380. 

57. 

0.571428. 

102.  7,501. 

58. 

0.38. 

103.  7,500.0000001. 

59. 

0.045. 

104.  5,290.5687. 

60. 

0.63. 

105.   l,136.296f. 

61. 

0.0416. 

106.  $2,471.10. 

62. 

1.153846. 

63. 

3.i35. 

Page  133. 
107.  48  l3ooks. 

Page  130. 

108.  19|  yards. 

64. 

f            67.  H- 

109.  6  rods. 

65. 

§.           68.  ^. 

jj„    i75<it.dry. 

66. 

14.          69.  1-4. 

(  87 y\  qt.  liquid 

Ex.       Ans. 

111.  0.5  ton* 

112.  200  yards. 

113.  2.13. 

114.  5.5. 

115.  4. 

116.  0.36. 

117.  111. 

118.  7,720. 

119.  15.49. 

120.  0.3. 

121.  0.094. 

122.  0.1003... 

123.  1538.4615... 

124.  6,275. 

125.  950. 

126.  10,050. 

127.  0.0071. 

128.  0.0497— 

129.  0.0066— 

130.  42.08. 

131.  649.084. 

132.  43.08. 

133.  0.1234. 

134.  25.1045... 

135.  0.2342— 

136.  74.0762— 

137.  11,728.8. 

138.  2,877.617. 

Page  135. 

For  answers  to  drill  ex- 
ercises on  Table  No.  6, 
see  page  64  of  this  Key. 

Page  147. 

1.  133,608  oz. 

2.  $640.00. 

3.  62ift. 

4.  $191.40. 


14 


KEY. 


Ex.  Ans. 

5.  43,560  sq.  ft. 

6.  1,955  acres. 

7.  46,656  cu.  in. 

8.  a  7.21. 

9.  $16.56. 

Page  148. 

10.  42,048,000  times. 

11.  14,608  hours. 

12.  52,594,560  iiiiu. 
y^   i  1,625.26  common 


i      miles. 

Page  149. 

14.  1  m.  274  rd.  1  yd. 

15.  284  rd.  1  ft. 

16.  60  A.  87  sq.  rd. 
j^  J  1A.28  sq.  rd.  5 

^      sq.  yd. 
^g    i  3  sq.  yd.  6  sq.  ft. 
'  (      39  sq.  in. 

19.  14°  54'  44". 

20.  4T.  1,3281b. 

21.  1,22111).  lloz. 
•22.  38  Ih.  lOoz.  Ipwt. 

23.  4  oz.  7  pwt.  1  gr. 

24.  158  bii.  3i)k.  7  qt. 

25.  2y.53d.  4li.33m. 
nf.   i  1  lb.  5oz.  3invt. 

I       18  gr. 

27.  1  lb.  5  oz.  10  pwt. 

28.  7,899:^  miles. 

29.  i  3^3 1  ^^^-^  or 

*  I  30  bu.  1  pk.  5qt.' 

Page  150. 

30.  3  yd.  2  ft. 

3^    (203  rd.  3  yd.  1  ft. 
6  in. 


•  Ex. 

I  32. 

J33. 

!34. 
135. 

36. 

37. 

38. 

39. 

I  40. 

J41. 

I  42. 

43. 

I  44. 

I 

I 

I  45. 
46. 
47. 
48. 
49. 
50. 
51. 


Ans. 
203  A.  101  sq.  rd 
24sq.yd.6sq.ft 
108  sq.  in. 
j  42sq.rd.20sq.yd 
I     1  sq.ft.  72 sq. in, 
1,750  lb. 
10  oz.  10  pwt. 
lOcu.ft.  864cu.  in. 
1  pt.  1  gi. 
)  2  pk.   3  qt.   0  i)t. 

33'  20". 
81  d.  2h.  40  m. 
274  d.  12  h. 
$  6,534.00. 
64  doses. 
6,930  planks. 

Page  151. 

gal. 

3 
0 


3TH 

\fi^  m. 


_5JL8J 
1161( 


54. 
55. 

56. 
57. 

58. 


A. 

^  cu.  yd. 
yf  year. 
0.2738—  mile. 

Page  152. 

0.8452  A. 
0.55y.;0.73Jy.;  0.49Jy. 

Page  153. 
135  gal.  2  qt. 
50  A.  130  sq.  rd. 
49  sq.  ft. 
78  m.  207  rd. 
13°  39'  8". 
16  d.  13  h. 


Ex  Ans. 

59.  2  pk.  3^  qt. 

60.  205f  rd. 

61.  554^  lb. 

Page  154. 

62.  3  bu.  1  pk.  3  qt. 

63.  2oz.  14pwt.  19gr. 

64.  15°  52'  40". 

65.  84  rd.  41  yd. 

66.  5  ft.  6  in. 

67.  511  A.  154^sq.  rd. 

68.  7oz.  16ipwt. 

69.  8h.  19  m.  46.2  s. 

70.  C.Horn,  21°  36' 4". 

71.  13°  50'  7". 

72.  11°  3'  21' . 

73.  86°  27'  17". 

74.  149°  14'  43". 

75.  74°. 

Page  157. 

76.  6  qt.  1  gi. 

77.  40  bu.  Ipk.  7qt. 

78.  258  m.  166  rd. 

79.  1  pk.  3  qt.  1  pt. 

80.  1  A.  50^  sq.  rd. 

81.  8  m.  14|s. 

82.  49  men. 

83.  154  bins. 

84.  6h.  14  m.  10  s. 

Page  158. 

85.  64°  15'. 

86.  32°  15'. 

87.  93°  2'  30". 

88.  16°  21'  15". 

89.  45°  W. 

90.  1°  15'  E. 


KEY. 


15 


Ex.        Ans 

91.  18°  E. 

92.  62°  W. 


93. 


Page  159. 
16°  15'  13"; 


90°  15'  16"  W. 

94.  167°  48'  45"  E. 

95.  10  m.  45^858. 

96.  4  h.  55  m.  37|  s. 

97.  1  h.  6  m.  48  s. 

98.  49  m.  40  8. 

Page  160. 

99.  7m.  311s.  p.m. 

100.  llo'cl.  7m.  43Us.  a.m 

101.  11  o'cl.  17m.  5U  .s  A.M 

102.  8o"cl.58m.26is.  A.M. 

103.  5  o'cl.  58m.  -2..-  s.  p.m. 

104.  6o'd.  Im.  46-J3S.P.M 

105.  5  o'cl.  17m.  32fi  s.  p.m. 

106.  11  o'cl.  lm.27Js.  p  M, 

Note.  The  pupil  will  per- 
form the  exanii)les  in  Men- 
suration more  intelligently 
if  he  malves  diagrams  of  the 
plane  figures  and  uses  blDcks 
or  boxes  to  represent  the 
solid  bodies. 

Page  161. 

107.  28^  yd. 

108.  37|  yd. 

109.  $41.25. 

110.  5,476  sq.  ft. 

111.  $5,197.50. 

112.  121  ft. 

113.  $2,178.00. 

114.  164SC1.  rd. 

115.  2  sq.  rd. 

116.  20^11^  A. 

117.  $34,456.64. 


Page  162 
Ex.         Ans. 

118.  $400.00. 

119.  1,696  cu.  in. 

120.  1,546|  lb. 

121.  6|  ft. 

122.  17^sq.Y(l. 

123.  22f  ft. 


124. 


Page  163. 
ft. 


11 

125.  $54.66. 

126.  9|ft. 

127.  42/. 

128.  99  ft. 

129.  45  ft. 

130.  2,400  ft. 

131.  120  ft. 

132.  81  ft. 

Page  164. 

133.  $12.21. 

134.  $0.95. 

135.  51f  qt. 


136. 


137. 


168ffgal. 
74-10  =  64 


^7(5. 1.024  cu.  ft. 
7.66...  gal. 

138.  45,«^^\  bu. 

139.  191  bu. 

r  47x231  x4 

140.  j  2150.42  X  5  " 

L    ^m^',  bu. 

141.  7.664  cu.  in. 

142.  40 bu.;  32 bu. 

Page  165. 

143.  27,101  ft. 

144.  10oz.2p\vt.  17gr. 


Ex. 
145. 
146. 
147. 
148. 
149. 
150. 
151. 

152. 

153. 

154. 
155. 


156. 


157. 

158. 
159. 
160. 

161. 

162. 
163. 
164. 


Ans. 
16cu,ft.  l,512cu.in 
$  48.00. 
$0.75. 
0.695°. 
0.1045...  id. 
f  acre. 

185  d.  19b.  28  ni. 
j  87  sq.  rd.  3  sq.  yd. 
I    3  sq.  ft.  36  s  1-  iu. 
j  21b.  5oz.  3pwt. 
(     8  gr. 
2, 

1,920  cu.  ft. 
r   420x231  x4 
)  12x12x12x49" 

.     Ans.  4  ft.  7  in. 
'^ns.  lib.  lll-oz. 


900  bricks; 

1. 

tV- 


,10. 


r 


i=%      AS 


no  breadth  is  to  be 
-|     divided,  6  breadths 
I     will  be  required 
I     Ans.  26  yards. 
28  m.  32  j^  s. 
46°  r  30". 
423  d. 


Page  166. 

165.  25/. 

166.  $2.91. 

167.  60  furrows. 

168.  lloz.Opwt.  15gr. 

169.  31  sq.ft. 

170.  $379.50. 

171.  768. 


16 


KEY. 


Ex.  Ans. 

172.  2°  13'  47f". 

173.  40  rd.  2  yd.  Sin. 

174.  17  d.  Ih.  30  m. 

175.  $68.75. 

'|:32l)  1)U.  rough  estimate. 

177.  $  16.50. 


178. 


I  78  A.  135  sq.  rd.  sons'. 
I87A.  115sq.rd.  dau's'. 


Page  171. 
For  answers  to  drill  ex- 
ercises on  Table  No.  1., 
see  page  69  of  this  Key 

Page  174. 
Ex.        Ans. 

1.  0.1  '"• 

2.  1.3'" 


179.  48  yd. 

Page  167. 

180.  1,860,000  yd. 

181.  18  lb.  10^  oz. 

182.  72  sc[.  ft. 

183.  $0.27iV 

184.  $5.50. 

185.  lift  cd. 

186.  $7.45. 

187.  $37.75. 

188.  286^  gal. 

189.  $51.75. 

190.  $44.55. 

191.  92^3_a. 
/Top  of  block,  2  sq. ft 

Area  of  sides,  3§  " 


192. 


]93. 


Snin,  5§ 

J^X^  ^  6  8 
3x9x3 
Ans. 
\  40.08. 


3.  21.4'"- 

4.  0.01  ■"■ 

5.  0.38'"- 

6.  5.29  ■"• 

7.  0.001  '"• 

8.  0.048™- 

9.  3.675"^- 


If  y^^^^- 


194.  66,825  stones. 


Page  177. 

10.  4,250"^- 

11.  3,500'" 

12.  23,500"'- 

13.  9,460"'- 

14.  9,240"'- 

15.  397  "*- 

16.  720"'- 

17.  7.3 '"■ 

18.  50"^- 

19.  67.678"^- 

20.  649.115  ■"• 
I  21.  415,990"^- 

22.  5.26749 K"'- 

23.  35,000  •"■ 

24.  86.62™- 

25.  15,480'"- 


195. 


Page  168. 

lli.53m.35^\s. 

after  midnight. 
196.  7gr.gr.3gr.6doz. 
197    ^lli.83\m. 
(3h.  54|m. 


27.  73.50672  K"'- 

28.  22.2075™- 

29.  300  times. 

Page  179. 

30.  23.85^1- "'• 

31.  20"'- 


Ex. 

Ans. 

32. 

$  8.40. 

33. 

217.5  «-;  2.175^- 

34. 

4,585.76  ^• 

35. 

$6,556.57. 

Page  180. 

36. 

12.043044049="- ™ 

37. 

153.41'="-  '"- 

38. 

$373,721 

39. 

369.6  loads. 

40. 

$  29.25. 

41. 

12'"-;  $20.25. 

Page  181. 

42 

20/. 

43 

$1.23. 

44 

751- 

45 

.  39  "'■ 

46 

.  4.5™- 

Page  182. 

47.  $3.09. 

48.  $2.31. 

49.  135  grams. 

50.  5.4  T. 

Page  184. 

51.  157.4  ft. 

I  52.  31.0685  m. 

53.  44.478  A. 

54.  2.04724  in. 

55.  188.713761b. 

56.  6,340.08  gal. 

57.  22.046  T. 

58.  40.2325  k- 

59.  80.94"^- 

60.  2,265.36  •• 

61.  15.087™- 

62.  17.5065^'- 


KEY. 


17 


Ex.        Ans. 

Ex.        Ans. 

Ex.           Ans. 

63.  618.9^-... 

32.  $4.00. 

62.  $5,729.75. 

64.  88.9056 Kg- 

33.  $11,250,000. 

63.  3%. 

34.  25%;50%;l7i%. 

64.  $1,200.00. 

Page  189. 

35.  4%;  125%;  1%. 

36.  166|%. 
37,^931%;      94|%; 

*  I    89i%;  90f%. 

1.  $112.80. 

2.  $62.65. 

3.  1,240  men. 

4.  $0,108. 

Page  196. 

65.  500  barrels. 

66.  20  acres. 

67.  2%. 

5.  90  days. 

Page  192. 

68.  30%. 

6.  14.28  lbs. 

38.  73J^%. 

69.  $637.80. 

7.  438,120. 

8.  1,500  ft. 

39.  5^2%- 

Page  198. 

9.  10,500. 

Page  193. 

70.  $1,101.50. 

10.  9,396. 

40.  $7,936.72. 

71.  $1,765.00. 

11.  $1.27. 

41.  $1,000.00. 

72.  $1,505.25. 

12.   131.4  ft. 

42.  $1.05. 

73.  $3,281.25. 

13.  45  in. 

43.  $5,970.00. 

74.  $3,615.00. 

14.  $8.32. 

44.  $2,400.00. 

45.  $7,000.00. 

75.  $8,903.50. 

Page  190. 

46.  $330.00. 

Page  199. 

15.  $1,600;  $480. 

47.  24|%. 

76.  $1,468.25. 

16.  l,816fd.;  5,450  d. 

48.  $577.78. 

77.  $2,100. 

17.  627;  209. 

78.  $2,500. 

18.  4,000;  6,000. 

Page  194. 

79.  50%. 

19.  210;  294. 

49.  25%. 

80.  $205. 

20.  ^^  160. 

50.  37^%. 

81.  $258.75. 

21.  6,375. 

51.  $1.02;$L44;$1.80. 

ri02|  +  i  =  103J 

22.  $5,208;  $15,624. 

52.  6%. 

g2    J4.S6X6X103X    ^^^_ 

23.  $200.00. 

24.  $1,488.00. 

53.  128f%. 

54.  108|^. 

100 

Ans.  $  30.07 

83.  \  i^  =  0-9' 1^ 
i     Ans.  91^^^  % 

25.  $214.29. 

26.  60/. 

55.  331%. 

27.  $500.00. 

Page  195. 

Page  200. 

28.  $  1,041.67. 

56.  $3.56. 

84.  $10.00. 

29.  $1,250.00. 

57.  $91,575. 

85.  $66.00. 

58.  $6.50;  $74.79. 

86.  $145.80. 

Page  191. 

1 

59.  $8.50;  $161.50. 

87.  $81.25. 

30.  40  years. 

60.  $81.60. 

88.   11%. 

31.  600. 

61.  $6,151.56. 

89.  $13.50. 

18 


KEY. 


Page  201. 
Ex.         A71S. 

90.  $24.31. 

91.  $2,297.10. 

Page  202. 

92.  l^f;  $188.50. 

Page  203. 

93.  21  m.;  $8.75. 

94.  $4,902.00. 

95.  $1,500,000. 

96.  18  mills. 

97.  $76.50. 

98.  $54.00. 

99.  $50.40. 

100.  $141.30. 

101.  $28.17. 

102.  $163.22. 

103.  $  117.99. 

104.  $102.37. 

105.  $194.27. 

Page  204. 

106.  $714.00. 

107.  $235.20. 

Page  205. 

108.  $80.33. 

109.  $5.77. 

110.  $36.38. 

111.  $3,830.40. 

f  Specific,  .$230,133. 

112.  <  Adval.   $131,504. 
(        Ans.  8  361.64 

113.  $238.99. 

114.  7^V%. 

115.  0.01^. 

116.  H- 


Ex.  Ans. 

117.  $0.0807. 

118.  $500.00. 

119.  $18,000. 

120.  $500.00. 

121.  $6,000.00. 

122.  $96.00. 

123.  10^5^  %. 

124.  $608.30. 

125.  $9,657.86  worth. 


Ex.  Ans. 

147.  $3.33. 

148.  $16,000. 
ri02§  +  ^  =  102i 

8815x100 


126. 
127. 

128. 
129. 
130. 

131. 

132. 
133. 
134. 
135. 

136. 

137. 
138. 


139. 
140. 
141. 
142. 
143. 
144. 
145. 
146. 


Page  206. 

S  2,750. 

shares;  $133rem. 
5  313.50. 
511,200. 
^22.50. 

Specific,  8  276.00 
Ad  val.    $   96.60 


Ans.  $  372.60 
$  5,495.85. 
$  400.00. 
$2.00. 
$  282.00. 

^  of  $  450  will 
be  given. 

Ans.  $  427.50. 
$  250.00. 
$1,161.56. 

Page  207. 

$373.50. 
$  15,126.50. 
$180.00. 
$302.17. 

$  40.00. 

$2.81. 

40%. 


149.^ 


=  86 


102i 
Ans.  86  shares. 

150.  $100. 

151.  4%. 

Page  208. 

152.  $  1,440.72. 

153.  20%. 

154.  15%;  5%;  10%. 

155.  $8.75;  5f. 

156.  $65,909.09. 

157.  30  shcares. 

158.  $  12.00  loss. 

159.  $1,008.09. 

160.  $700. 

Page  211. 

1.  $207.36. 

2.  $41.56. 

3.  $  156.20. 

4.  $26.99. 

5.  $23.41. 

Page  213. 

6.  $0,076. 

7.  $0.242|. 

8.  $0.020|. 

9.  $0,009^. 

10.  $0.066|. 

11.  $0.10. 

12.  $1.00. 

13.  $0,473. 

14.  $43.50. 

15.  $6.55. 
jl6.  $325.08. 


KEY. 


19 


Ex.        Ans. 

Page  218. 

17.  $21.82. 

Ex. 

18.  $161.64. 

'  Prin. 

$  480.00    from  Oct.  12,  '73, 

19.  $230.33. 

Int.  . 

9.20     to  Feb.  6,  '74. 

20.  $1.66. 

21.  $59.79. 

Amt.     . 

489.20     T.3mo.l9d. 
120.00     Ratio,  0.019i 

50. 

Payt.     . 
2d  prill. 

Page  214. 

369.20     from  Feb.  6,  '74, 

22.  $185.61. 

23.  $3.75. 

24.  $403.28. 

Int.  .     . 

12.18     to  Aug.  24,  '74. 

Amt.     . 

$  381.38  l^-^^^^- IS  ^1- 
I  Ratio,  0.033. 

25.  $50.15. 

26.  $0.51. 

. 

Ans.  $  381.38 

27.  $3.23. 

28.  $653.40. 

'  Prin.      . 

$500.00     from  May  10,  '69, 

29.  $624.46. 

Int.  .     . 

40.50     to  Sept.  16,  '70. 

30.  $1,184.13. 

31.  $  143.96. 

Amt.     . 

640.50ST.ly.4mo.6d. 

32.  $1,047.82. 

1st  payt. 

140.00  ^  ^^t^<^>  ^-OSl- 

33.  $504.65. 

34.  $939.04. 

2d  prin. 

400.50     from  Sept.  16,  70, 

35.  $  165.30. 

51.^ 

Int.   .     . 
Amt.      . 

44.86     to  July  28,  '72. 

36.  $408.95. 

445.36iT-ly-10mo.12d. 

37.  $937.37. 

2d  payt. 
3d  prin. 

50.00  <  ^^^i^'  ^-112. 

Page  215. 

395.36     from  July  28,  '72, 

Int.  .     . 

2.44     to  Sept.  4,  '72. 

38.  $4.65. 

39.  $4.62. 

$397.80    T.  Imo.  7d. 

Ratio,  0.0061. 

40.  $9.17. 

41.  $11.85. 

*- 

Ans.  I  397.80 

42.  $4.27. 

43.  $4.92. 

1 

'  Prin.      . 

$2000     from  June  15,  '73, 

44.  $28.09. 

Int.  .     . 

192     to  Aug.  27,  '74. 

45.  $113.00. 

52.^ 

Amt. 

46.  $44.38. 

2^92     T.  1  y.  2  mo.  12  d. 
j^^Q     Ratio,  0.096. 

47.  $9.06. 

Payt.      . 

48.  $360.55. 

49.  $  18.90. 

$742                         Ans.%U2. 

20 


KEY. 


Ex. 


Principal,     . 

Interest,  •     . 

Amount, 
1st  payment, 

2d  principal. 
Interest,  .     . 

Amount, 
2d  payment, 

3d  principal, 
Interest,  .     . 

Amount, 
3d  payment. 

Amount, 
Interest,  .     . 


Principal,     . 
Interest,  .     . 

Amount, 
1st  payment, 

2d  principal. 
Interest,  .     . 

Amount, 
2d  payment, 

3d  principal, 
Interest,  .     . 

Amount, 
3d  payment, 

4th  principal, 
Interest,  .     . 


1000.00     from  October  5,  1874, 
10.50     to  December  8,  1874. 
T.  2  m.  3  d. 
Ratio,  0.0101. 


1010.50 
125.00 


885.50     from  December  8 

22.73     to  May  12,  1875. 

\  T.  5  m.  4  d. 


1874, 


908.23 
316.00 


(  Ratio,  0.025? 


592.23     from  May  12,  1875, 
10.96     to  September  2,  1875. 
T.  3  m.  21d. 


603.19 
417.00 


186.19 
5.80 

6191.99 


935.00 

20.88 


Ratio,  0.0185. 

from  Septemlier  2,  1875, 
to  March  9,  1876. 
T.  6  mo.  7  d. 
Ratio,  0.031^. 


Ans.  -S  191.99. 


955.88 
125.75 


from  September  1,  1875, 
to  January  15,  1876. 
T.  2  m.  3  d. 
Ratio,  0.0221. 


830.13     from  January  15,  1876, 

59.49     to  March  25,  1877. 
^-^T.ly.2mo.l0d. 


250.00 


639.62 

4.80 


644.42 
300.00 


344.42 
85.59 

$430.01 


Ratio,  0.071§. 

from  March  25,  1877, 
to  May  10,  1877. 
T.  Imo.  15  d. 
Ratio,  0.007i. 

from  May  10,  1877, 
to  July  1,  1881. 
T.  4  y.  1  mo.  21  d. 
Ratio,  0.2485. 


Ans.  $  430.01. 


>^ 


Ex. 


55. 


Principal, 

Interest,  . 
Interest,  . 

Amount, 

1st  &  2d  payt 

2d  principal 
Interest,  . 

^  Amount, 

Principal, 
Interest,  , 

Amount, 
1st  payment. 


56.  ^ 


2d  principal 
Interest,  . 
Interest,  . 
Interest,  . 


2d  &  3d  payts. . 


KEY. 


425.00     from  July  13,  1869, 
52.91     to  August  9,  1871  (2y.  27  d.     0.124^). 
32.44    to  Nov.  17,  72  (1  y.  3  mo.  8  d.     0.076i). 


510.35 

200.00     required  to  cancel  interest. 


310.35     from  Nov.  17,  1872, 
12.16     to  July  12,  1873  (7  mo.  25  d.     0.039J). 


$  322.51 


Ans.  $322.51. 


$  800.00     from  July  15,  1870, 

42.47     to  April  18,  1871  (9  mo.  3  d.     0.053J2)- 


842.47 
100.00 


742.47  from  April  18,  1871, 

88.50  toDec.31,  72(ly.8mo.  13d.    0.1193^). 

75.65  to  June  14,  74  (ly.  5  mo.  14  d.    O.lOlf). 

56.30  to  July  14,  75  (1  y.  1  mo.     0.075f). 


962.92 

132.50     required  to  cancel  interest. 


$830.42 


57. 


Ans.  1830.42. 

Page  219. 

Prill.  $  10,000.75  from  Oct.     3  to  Dec.  3,  75  (2  mo.),  amounts  to .     .    $10,100.76 
672.41     "     Nov.    5  "  Dec.  3  (28  d.)  amounts  to    $675.55 


7,682.42     ' 

Nov.  15  "  Dec.  3  (18  d.) 

7,705.47 

437.98     ' 

Nov.  16  "  Dec.  3  (17  d.) 

439.22 

833.42     ' 

Nov.  19  "  Dec.  3  (14  d.) 

835.36 

9,655.60 

A71S.  $  445.16. 

$445.16 

58.  i 


Page  220. 
Prin.  $1,200.00  from  April    1,  '75,  to  April  1,  76  (1  y.),     .    .     . 

161.08     "     April  12,  75,   "  April  1,  76  (11  mo.  20  d.),$  172.04 

224.14     "     July   19,  75,  "  Aprill,  76  (8  mo.  13  d.),      235.17 

17.90     "     July   28,75,   "  April  1,  76  (8  mo.  4 d.)    .      18.75 

100.25     "     Jan.    29,  76,  "  April  1.  76  (2  mo.  3d.)    .     101.48 

Ans.  $  756.56. 


$1,284.00 


527.44 
$756.56 


22 


KEY. 


Page  221. 
Ans. 

10  mo. 

3  years. 

1  y.  6  mo. 

ly.  4  mo.  12  d. 

5  y.  6  mo.  20  d. 

5  y.  4  mo.  3  d. 
1  y.  6  mo. 

6  mo. 
100  y.  ;   50  y. ;    33 

4  mo.  ;  16  y.  8  in 
10  y. 
68.  8^^. 

69.  ^fo. 

Page  222. 
70.  A\%. 


1 


9f. 


71. 

72.  ^%. 

73.  2%. 

74.  51%. 
10%. 


75. 


Page  223. 

76.  $125.00. 

77.  $100.00. 

78.  $1,020.00. 
79. 
80. 
81. 


68.20. 
72.00. 
600.00. 


82.  $600.00. 

83.  $2,063.65. 

84.  $400. 

85.  $83.86. 

86.  $300.00. 

87.  $200.00. 

Page  225. 

88.  $25;  $2.50. 

89.  $97.08;  $3. 


Ex. 

Ans. 

90. 

%  197.04;  $  2.96. 

91. 

$167.69;  $8.11. 

92. 

$650;  $11,371 

93. 

$1,540;  $69.30. 

94. 

$590.16. 

95. 

$  123.64. 

96. 

$  1,533.85. 

i  Received  for  grain,  .  $  1,650.00 

97. 

^  P.  W.  of  $  1,500,      .      1,442.31 

'                               Ans.  $207.69 

i  Cost  of  books,  $  152.00 

98. 

\  P.  W.  of  %  240,  235.87 

'              Gain,     .$83.87     ^ns.  $83.87 

Page  227. 

99.  $4.13;  $745.87. 

100.  $18.08;  $981.92. 

101.  $8.20;  $291.80. 

102.  $14.00;  $686.00. 

103.  (Time,  95  d.)     $9.90;  $490.10. 

Page  228. 

UDue  Feb.  28/Mar.  3.     Time,  63  d.) 

■  ($4.57;  $285.43. 

105.  $5.25;  $494.75. 

106.  $4.11;  $252.73. 

^    K^^ie  April  30/May  3.     Time,  56  d.) 

■  ($9.33;  $1,190.67. 
Amount  of  $324  for  1  y.  3d. 

at  6%, $343.60 

Discoimt  of  $  343.60  for  99  d. 
108.-^      at  7%, 6.61 

Avails, $336.99 

I  Ans.  $336.99. 


KEY. 


23 


Ex. 

Ex. 

Ans. 

'Amount of  $4000  for 

132.  $2.86. 

6ino.  3d.  at  10 ^,$4, 203. 33 

133.  $6(\0(X 

Disc'nt  of  $4,203.33 

109.  < 

for  88  d.  at  10%,   .    102.75 

Page  23a 

^^^   j     $102.75,  discount. 
^        '  I  $4,100.58,  avails. 

134.  $234.32. 

135.  $915.71. 

136.  $85.16. 

Ans.    ^^^^  229. 

137.  $45.06. 

110.  i 

^  80.44. 

138.  $2,396.56. 

111.  $500.00. 

112.  $  1,500.00. 

113.  $950.00. 

Page  237. 

Due.          Items.  Days.     Int. 
March  31,  $  400      0 

'By  true  discount, $178,571 

April  30,  .     300    30  $3.00 

114.  < 

By  bank  discount,    175.867 

139.^ 

May  30,    .     200    60      4.00 

Ans.   $2.70 

1  day's  iut.of  $900  =  0.30)  7.00  (23 

^  Bank  discount  1        oiyjo  no 
(Time,  117  d.)   i    *    '9  ^ '^-^"^ 

.Mar.  31  +  23d.  =  Apr.  23.  Ans. 

115.  < 

True  discount           I  171  nn 
(Time,  3  mo.  24 d.)    /   ^'i-'^"^' 

Due.             Items.  Days.      Int. 
Xov.  5,      .    $  800        0 

Ans.   $  7.83 

Dec.  8,     .       800      33    $8.80 

116.  i 

M92.61. 

140.^ 

Feb.  3,     .       800      90     24.00 

117.  ( 

Time,  34  d.)     $497.17. 

lday'sint.of$2,400=  0.8)  32.80 

Page  230. 

41 

118.  i 

)  506.00. 

^Xov.  5+41  d.  =  Dec.  16.  Jus. 

119.  ( 

Time,  2  mo.)     $4.95. 

Due.             Items.  Days.       Int. 

120.  ( 

Time,  64  d.)     $5.33. 

Sept.  10,     .   $  900       0             0 

121.  i 

ai7.80. 

Oct.    21,     .  2,250     41      30.75 

122.  i 

5  421.38. 

141.^ 

Oct.    28,     .  1,050     48     16.80 

123.  i 

5  310.05. 

1  day's  int.  of  $4, 200  =  01.4)  47.55 

124.  < 

>  33.33. 

33.9 

125.  ^ 

I  1.20. 

Sept.  10  +  34d.  =  Oct.l4.^;i5. 

126.  .^ 

5  65.00. 

f       Due.              Items.  Mos.        Int. 

127.   1 

$1.33x10x5      ^,  „^ 
9x4             ^^•^^• 

Page  232. 
>  238.20. 

$430        0 
270       4  $10.80 
300       3        9.00 

128.  i 

142.- 

1  mo.'s  int.  of  $1 ,000  =  $10)  19.80 

129.  « 

426.03. 

1.98 

130.  1 

2,513.04. 

1.98mo.  =  lmo.  29  d. 

Ans. 

15  mo.  -H 1  mo.  29  d.=6  mo.  29  d. 

131.  6 

2,217.44. 

24 


KEY. 


Ex. 
143. 

145.- 

Ans.                                              Ex. 

6  mo.  13  d.                          1  144.  1 
r           Due.               Items.           Mos. 
May  10,    .     .     $  200             0 
July  15,     .     .        300           %Q 
July    3,     .     .        520           54 
July  18,     .     .        250           69 

1  day's  int.  of$  1,270  =  0.421) 

May  10  +  51  d.=  June  30.     A 

<■           Due.                  Items.          Days. 
April  10,    .     .      %  438            0 
April  28,    .     .         254           18 
April  29,    .     .         145           19 
July     7,    .     .         300           88 
July   12,    .     .         159           93 

Ans. 
5  1110. 
Int. 

$  6.60 
9.36 
5.75 

Days 

13 

131 

=  0.12 

Days. 
56 
63 

69 

76. 

21.71 

146.- 

51 
ns.  June  30,  1876. 

Int. 

$1,524 
0.9181 
8.800 
4.929 

1  day's  int.  of  $1,296=0.432) 
^  April  10  +  37  d.  =  May  17.     At 

r                             Dp. 

Date.           Items.       Days.    Int. 

April  1,  .    $1,000       0           0 
July   8,  .           119     98   $3.89 

$1,119          $3.89 

16.17U 

37 
s.  May  17,  1876. 

ige  240. 

Cr. 

Date.              Items. 
April  14,  .    $1,393 
Aug.  10,  .            94 

$1,487 
1,119 

.      Int. 
$6.04 
4.10 

147.- 

$10.14 
3.89 

April  1  +  51  d.  =  May  22. 

f                                  Dr. 

Date.           Items.     Days.      Int. 
June    5,     .  $400         0 
Sept.    5,     .      600       92      $8.4 
Sept.  15,     .      200     102        6.8 

1 
A 

0 
0 

0 

1 

lay's  int.  of    $  368  = 

ns.  May  22,  1877. 

Cr. 

Date.       Iteins. 
July  31,     $  250 
Aug.   7,        700 
Aug.  13,        200 

2)     6.25 
51 

Int. 

$4.67 

14.70 

4.60 

148.^ 

$1,200             $25.2 
1,150                23.9 

$1,150 

$23.97 

1  day's  int.  of  $50=0.016|)  1.2 

74 
June  5  +  74d.  =  Aug. 

3 

18.     Ans.  Aug.  18,  18 

KEY. 


25 


Ex. 


Dr. 

Date.  Items.       Days.        Int. 

Feb.  5,  .     .  $  600         0  0 

Apr.  8,  .     .      420        62    $8.68 

.68 


$1,020 
800 

$ 

1  day's  int.  of  .$220  =  0.0 
Feb.  5,  78-60d.= 

7H 

De 

Dr. 


Date. 

Items 

Oct.   19, 

.  $173 

Oct.   14, 

.      315 

Oct.   18, 

.      230 

Nov.  30, 

81 

150.^ 


:799 
602 


Day 

i.      Int. 

25 

$1,441 

20 

2.10 

24 

1.84 

67 

1.809 

$7.19 

Date. 
April    1, 
Mar.  16, 

Cr. 

Items. 

.      .   $500 
.     .      300 

Days 
55 
39 

.      Int. 
$9,167 
3.90 

$800 
Dec.  6,  77 

$13.07 
8.68 

7.     A71S. 

)  4.39 
60 

Date. 
Sept.  24, 
Oct.    12, 

Cr. 

Items. 

.   $500 
.      102 

Days 

0 
18 

.     Int. 

0 
$0,612 

$602 


0.612 


0.612 


1  d.'s  int.  of  $197=0.065§)  6.5; 


100 
Sept.  24  +  lOOd.  =  Jan.  2,  77.     Ans.  Jan.  2,  1877. 


Date. 
April   6, 
Feb.  24, 
May  21, 
July  29, 


Dr. 

Items. 

.  $340 

.      582 

85 

.  2,200 

$3,207 


Days 

.     Int. 

■95  $10,767  II 

54 

10.476 

140 

3.967 

209 

153.267 

$178.47711 

Cr. 

Date.  Items. 
Jan.  1,  .  $361 
Apr.  15,  .  4,000 
Apr.    7,  .     580 


Int. 


Days 
0 
104  $138,667 
96        18.56 


157.227 


$4,941 
3,207 

$1,734 


$157,227 


1  d.'s  int.  of  $1,734  = 
Jan.  1  -  37  d. 


0.578)  21.25  =  36.7  d. 

=  Nov.  25.     Ans.  Nov.  25,  1877. 


Page  243. 
Ex.        Ans. 

1.  $808.00. 

2.  $2,505.00. 

3.  $703.50. 

4.  $1,960.00. 


Ex.         Ans. 

5.  $696.50. 

6.  $506.76. 

7.  $273.63. 

Page  244. 

8.  $2,430.00. 


Page  245. 
Ex.         Ans. 
9.  $4,840.00. 

10.  $106.80. 

11.  $109.60. 

12.  $47.50. 


26 


KEY. 


Ex  Arts. 

13.  1366.55. 

14.  ^2,,000. 

15.  i>^400  10s. 


16.  14,340.00. 

17.  1905.25. 

18.  $2,500.00. 


Page  246. 


19, 


20. 


f  $1,000  X  1.10|-$  1,107.50 
}$  2,000  X  1.14    =     2,280.00 

'  Ans.  $3,387.50 

$3,000  X  1.09^  =  $  3,277.50. 


Page  247. 


21. 

$369.90. 

22. 
23.^ 

'3x1.021      ^,,^ 

1.10   ^='^^- 

Ans.    Mortgage  ;  1^  ^  more. 

i 

$225x4xl00xl05i 

24.  j 

4ixl00                 * -1,050. 

^7^5.  $21,050 

25. 
26. 


27. 


$  94.20. 
Prill. 
Int.. 

Anit. 
Payt. 

2d  prill 
Int.  . 

Amt. 
Payt. 

3d  prin 
Int.  . 

Amt. 


$500.00     from  May  10,  1875, 
12.25     to  Sept.  16,  1875. 
T.  4  mo.  6  d. 
Ratio,  0.0241 


512.25 
140.00 


372.25     from  Sept.  16,1875, 

48.64     to  July  28,  1877. 
420.89  )  T.  ly.  10  mo.  12  d. 


50.00  <  l^-'^tio,  0.130§. 

370.89     from  July  28,  1877, 
2.596  to  Sept.  3,  1877. 
\  T.  Imo.  6d. 
Ratio,  0.007. 

Ans.  $373.49. 


373.49 


Ex.        Ans. 

28.  3%. 

29.  11  mo. 

30.  $600.00. 

31.  $179.25. 

32.  $49.27. 

33.  $400.00. 

34.  $20.46. 

Page  248. 

35.  $2.06. 

36.  $99.50. 

37.  $1,308.74. 

38.  3  mo. 

39.  $1,251.13. 

40.  6  T.  772  lb. 

41.  $39.36. 

42.  $437.93. 

500X1.07^  =  $2,687.50 

Ans.  $2,687.50. 

Length,  2  2\  yds. ; 

breadth,  |^  yds. 

Com.  $  13.27. 

Eem.  $  530.73. 
$43.75. 
3^  mo. 


43. 

44. 

45. 

46. 

47. 

48.  5%  gain. 

Page  24». 

49.  $4,365.00. 

50.  $32.19. 

51.  31^%. 

52.  50  years. 

53.  $124.00. 

54.  $57.50. 

55.  $1.57. 

56.  8  mills;  $16. 

57.  $502.77. 


KEY. 


27 


Ez. 

1 

Ex. 

Ans. 

fPrin.     .$2,500.00     from  Sept.  5,  1875, 

41. 

%  933.33. 

Int..     .         273.33 

to  July  1,  1877. 
j  T.  1  y.  9  mo.  26  d. 

42. 
43. 

18  men. 

Amt.    .     2,773.33 

54  days. 

lst&2dpt.    550.00  ^  l^^ti^'  ^-lO^i 

44. 

3,680  bricks. 

58.- 

2d  prin.     2,223.33     from  July  1,  1877, 

45. 

IT.  328|lb. 

Int. .     .           23.72 

to  Sept.  5,  1877. 
j  T.  2  mo.  4d. 

46. 

5T.  8161b. 

Amt.     .  $2,247.05 

Page  263. 

(  Katio,  O.OlOf. 
.     jlns.                            Ans.  $2,247.05. 

47. 

A's,  $1,875; 

B's,  $  1,125. 

59.  $3,754.00. 

Page  259. 

-1 

B's,  831T.; 

60.  $400.00. 

Ex.         Ans. 

S's,  166f  T. 

Page  250. 

20.  31,680  feet. 

61.    (Time.  93d.)  $147.92. 

21.  2,500  bushels. 

Page  264. 

62.    (T.4mo.lOd.)  $146.55. 

22.  106^%  feet. 

'  M.,  $  570.53  ; 

63.  $154.31. 

23.  15  cents. 

49.- 

N.,  $221.87; 

64.  $196.08. 

24.  l,076i|  times. 

0.,  $316.96; 

25.  $4.66. 

.P.,  $316.96. 

Page  252. 

26.  1  lb.  6^  oz. 

A's,  $  5,625 ; 

For  answers  to  drill  ex- 

27. 23^  days. 

50.  < 

B's,  $7,500; 

ercises  on  Table  No.  8, 

28.  5f  mo. 

29.  3  lb.  4J^  oz. 

C's,  $  9,375. 

see  page  78  of  this  Key. 

51. 

$375;  $500;  $625. 

Page  255. 

30.  9^  yds. 

-1 

H.$500;B.$506; 

1.  ^^.              6.  ^V 

2.  ^V             7.  if. 

3.  -^p           8.  7. 

31.  36  tons. 

L.  $  480. 

3,  jl2:150=l:x. 
(        Ans.  12^  min. 

53. 

X's,  $  332.50; 
Y's,  $525. 

4.  ^.             9.  6. 

Page  261. 

rl, 000x3  =  3,000 
450x3  =  1,350 

5-   eV 

33.  $30. 

1,150x6  =  6,900 

Page  257. 

34.  42  days. 

11,250 

10.   850. 

(-140:180)^00., 
35.^    25:    20r^^^-''- 

3,000x8  =  24,000 

11.   1,750. 

3,300x1  =    3,300 

12.  736|. 

13.  3,250  tons. 

(         Ans.  $30.86. 

2,400x2=    4,800 

36.  26  miles. 

54.-' 

32,100 

14.  35  hats. 

15.  $27.30. 

Page  262. 
37.  250  tons. 

Rs  part, 

2^5_  or  $908.30. 

P's  part. 

Page  258. 

38.  19311- lb. 

ill,  or  $2,591.70. 

16.  $70.      18.  $750. 

39.  $49.25. 

^,^(R's,$  908.30. 
^         (P'sJ2,591.70. 

17. 

$20.      19.  $7.13. 

40.  $  12^  rods. 

28 


KEY. 


Page  266. 

Ex. 

Ans. 

1 

Ex.         Ans. 

Ex.               Ans. 

35.  6.082... 

68.  0.9654... 

(  1,  8,  27,  64,  125, 

36.  2.321... 

69.  0.9546... 

l.<     216,    343,    512, 

37.  0.883... 

70.  3.986... 

(     729,  1,000. 

38.  1.414... 

71.  0.6463... 

2.  289. 

39.  0.3794... 

72.  0.9718... 

3.  784. 

40.  5.059... 

73.  1.259... 

4.  A\. 

41.  16.50. 

74.  332  in. 

5.  0.0289. 

42.  536. 

75.  6.349...  ft. 

6.  3f . 

43.  94  ft. 

76.  41.07...  in. 

7.  104.04. 

44.  49  men. 

77.  51.89...  in. 

8.  3,375. 

45.  140  feet. 

^Q    (  Without  cover,  S  5.86  ; 
^(  with  cover,  $7.03. 

9.  0.001728. 

46.  84. 

10.  14,641. 

47.  112. 

For  answers  to  drill  ex- 

11. #^. 

48.  87.63...  rods. 

ercises  247  and  248,  see 
page  85  of  this  Key. 

12.  0.03125. 

(  Length,  100; 
■  (  breadth,  50. 

13.  3.61. 

Page  280. 

14.  272J. 

50.  9.704  . .  rods. 

,    I  4J  sq.ft.  =  4  sq.ft.  24  sq. 

15.  5.76. 

1  of  1,728 

■  (     in. 

16.  0.0576. 

stones 
must  form 

2.  1031  sq.  ft. 

17.  0.004096. 

51.- 

a  square. 

3.  180  sq.ft. 

^       \  Length,60ft.; 

4.  10,624  sq.ft. 

Page  271. 
18.  137. 

52. 

[          \  width,  45  ft. 
4.5  feet. 

5.  19.52iVA. 

19.  901. 

Page  276. 

Page  282. 

20.  93.7. 

53.  23. 

6.  75.3984  ft. 

21.  8.17. 

54.  46. 

7.  25.1328  ft. 

22.  7.43. 

55.  7.4. 

8.  31.8309...  ft. 

23.  0.43. 

56.  98. 

9.  18.3478...  sq.ft. 

24.  234.1. 

57.  143. 

10.  346.3614...  sq.ft. 

25.  2.237. 

58.  24.2. 

11.  44.8369...  rods. 

26.  60.47. 

59.  43.6. 

12.  12  planks. 

27.  A- 

60.  9.35. 

^3   (  100.5312  ft. 
(268  persons. 

28.  if. 

61.  9.405... 

29.  1,  or  0.666... 

62.  7.020... 

30.  0.529... 

63.  0.7067... 

Page  283. 

31.  0.866... 

64.  0.928... 

14.  30  ft. 

32.  1.590... 

65.  ^V 

15.  19.5  ft. 

33.  2.723... 

66.    3;\  =  f . 

16.  18.330...  ft. 

34.  2.924... 

!67. 

3 

.5. 

17.  6,600  ft. 

KEY. 


29 


Page  284. 
Ex.  Ans. 

18.  82.683...  ft. 

40  B  72 


19.^ 


20  J 


Ans.  A,20rd.;  C,  24  rd 

276.099...  rods,  or  276.1... 
if  roots  are  found  to  ten 
thousandths;  thus, 

V/40^  + 60"^  =72.1110.. 
v/60-^  + 57'-^=  82.7586.. 
V57^  + 362  =  67.4166.. 
V/36^+40^=  53.8144.. 


276.1006. 


21. 
22. 
23. 

24. 
25. 


21.213...  ft. 
23.043...  ft. 
39  inches. 

8.660...  ft.; 

43.3...  sq.ft. 
24  ft.  ;  240  sq.  ft. 


Page  288. 

26.  448  cu.  in. 

27.  216.5  cu.  ft. 

28.  907.5  cu.  ft. 


Page  289. 

V/l2xl08  =  36 

(12  +  108  +  36)6  =  936 

Ans.  936  cu.  in. 


29. 


30. 


(81+108  +  144)8x4 

3x5 
701.4  X  4 


=  701.4... 


=  568.32 


Ans. 


701.4  bu.  shelled; 
568.32  bu.  unshelled. 
31.  40sq.  yd.  8sq.  ft. 


Ex. 

Ans. 

32. 

720  sq.  ft. 

33. 

220  ft. 

i 

11x11x3.1416x14      ^  ^^^^ 

34.  < 

2x2x231               ^-^^^^ 

I 

'                  Ans.  5.7596  gal. 

35. 

14.1372  sq.  ft. 

36. 

18ft.;  1,060.29  cu.  ft. 

37. 

51.051  sq.  yd. 

'  Area  of  top,  .     .     176.715 

Area  of  bottom,     113.0976 

Mean  pro.     .     .     141.372 

38.  \ 

431.1846 

431.1846  x^6X  1728  .g^^^^gggg 

Ans.  6,450.9696  gal. 

39. 

3.1416  sq.ft. 

40. 

S  42.98. 

41. 

113.0'976cu.  ft. 

42.  144,109,433.16. 


Page  290. 


sq. 


43.  34§  yards. 

Page  291. 

44.  1,848  ft. 

45.  19.63495  rods. 

46.  125  gallons. 

47.  $0.93. 

48.  .S  162.00. 

49.  $4.86. 

50.  9.071  ill. 

Page  292. 

51.  18|f  OZ. 

52.  3,188.046...  lb. 
.3   (14.68...  in.; 

'  (  6.349...  in. 
g^   (  21603;  79123=  1  .3. 
'  \         Ans.  49.14...  bodies. 


30 


KEY. 


Ans. 

1  :  1000=79128  :  jc^ 
.4715.  79,120  miles. 

2  :  1  =  123  :  r^ 
Ans.  9.524...  in. 

57.  4.32  tons;    6.86  tons. 


55. 
56. 


58. 
59., 
60. 
61. 
62. 
63. 
64. 

65. 

66. 
67. 

68. 


Page  293. 
llf 

0.7589... 
7121;  1,187^. 
22^;  5;  17^. 
10,000  lb. 

S's,  $389.50;  L's,  $  1,046.00. 
6,436,343;  884,736. 

961 ;  39  rem. 

31  on  each  side. 
3,233.32...  ft. 
lOf  ft. 
20  ft. 


69.^ 


'15.708x160 


=  28.2842... 


y  ^    3.1416 

28.2842  X  2  X  3.1416  =  177.71528 . . . 

31.2842X2X3.1416=196.56488  .. 


70. 


Sum,  .S74.28016... 

Ans.  374.28...  rods. 

25  X  3.1416  ^' 

Ans.  14|f  in. 


r  v/7-+ 


111 


72. 


14x3J416^aiJ^  256.56... 

I  Ans.  256.56...  sq.ft. 

\  hour. 


Page  295. 


73.  227^  lb. 

74.  161. 

75.  30^5_. 

76.  375  barrels. 


78.  32.249...  ft. 

79.  $5,274.84. 

80.  $6,080.00. 


Ex.  Ans. 

81.  f 

82.  $95,388.75. 

83.  4414%. 


Ex.  Am. 

84.  2h.  24  m. 

85.  120  shares. 


Page  296. 
86.  4  dozen. 

'True  discount,  $12.04 
Bank  discount,    12.658 

87.^  

$0,618 

Ans.  $0.62. 

88.  $803.19. 

89.  Face  of  note,  $303.19. 

90.  $1,593.00. 

U.'s,?l^^^I^=  $771.32. 
91  < 

')h.'s.^'^'1-I'"'^'-$1,584.43. 


(      /89ni0 

92. 1  y  -Teo" 


399 
1000 


=  746.286. 


Ans.  746.286  ft. 
93.  20%. 

/-  Due.  Item.     Time.  Int. 

1S77. 

Sept.  17,  .  .  $200        31        S2.06C 

Aug.  17,  .  .      500 

Sept.  17,  .  .     300        31  3.10 


94. 


1  day's  int.  of  1,000  =  0.333    )  5.166 

16 
Aug.  17  +  16  d.  =  Sept.  2. 

Ans.  Sept.  2,  1877. 

95.  131°  20'  38"  W. 

Page  297. 

96.  $41.50. 

97.  40,882^  bricks. 

98.  6.2832  in. 

99.  Ih.  29m.  18f  s.  P.M. 

'A's  loss,  $13,750; 
B's  loss,  $11,000  ; 

100.  <  c's  loss,  $8,250. 

C  pays  A,  S  8,250 
L  B  pays  A,  $  3,000. 


KEY. 


31 


Ex.          Ans. 

Ex. 

Ans.                   Ex.        Ans. 

101.  $12  gain. 

29.  68iV                 32.  2,525^. 

102.  $2.59f 

30.  52j\.                33.  3,751j-V 

31.  915^^. 

Page  298 

|"v/r2.75  =  3.5707 

Page  306. 

^^2   1  (3.5707X  4  xl6J)  + (7X4)  =  263.6662  (ft.) 

34.  830  links. 

•263.6662  x  7  x  5  =  9228.41. 

35.  0.45  ch. 

Ans. 

$  92.28. 

i  36.  11.56  ch. 

104.  94.0032  gal. 

37.  72.2  rd. 

105.  $5.07. 

38.  129  rd.  1.32  ft. 

106.  Gained  $  0.71. 

39.  93  rd.  14.52  ft. 

107.  19  T.  1,3751b. 

40.  150  acres. 

^Qg^  1  Length,  6.697. 
(  Diameter,  5.64 

.ft. 

41.  108  acres. 

D...in. 

42.  7.0448  acres. 

jOg   (6:138  =  480:  = 
(          Ans.  2  mi 

c 

43.  111.32854   acres. 

les  480  feet. 

Page  310. 

Page  301. 
1.  3,564. 

44.  $80.15.            46.  $250.82. 

2.  263,736. 

45.  $42.59. 

3.  579,942. 

Page  315. 

4.  368,373,159. 

(     18X10  0^^20 

5.  69,999,993. 

6.  244,510. 

(                         Ans.  24/. 

7.  3,558,220. 

8.  54,931,835,204. 

48.  3  more. 

9.  26,496;  13,248. 

4g^  1  16|days ;  50  miles  east  of  the 
(      point. 

10.  330,399;  195,792 

11.  231,660;  308,880 

(  ap_x_j_oo^50 

^2  [  2,772,605; 
'  (  7,561,650. 

^^•)  M-i  =  50/. 

(                        Ans.  50  fo 

Page  302. 

51.  $1,800.00. 

13.  621.                    21. 

11,025. 

(  5x30  =  150 
52.  1  150-f-25  =  6 

(                Ans.  6  bushels. 

14.  616.                    22. 

30i. 

15.  1,209.                23. 

721 

16.  2,025.               24. 

17.  3,024.                25. 

18.  7,221.               26. 

132^. 

182i 
9,900^. 

53.  < 

'  34.10  X  125  _, 
100x1.10           ^ 
38|-31  =  7| 

19.  3,025.                27. 

272J. 

L                     A71S.  7|  gal. 

20.  7,225.                28. 

39^. 

54. 

28%. 

32 


KEY, 


Ex. 


55. 


56. 


X  100x3 


75 

36  X 

1.081- c 

$24 

x2xl00 

120 

$24 

x2xl00 

Ans. 

=  1 36,  cost  of  the 
whole. 
=  30 
Ans.  $30. 


57. 


58. 
59. 


60. 


:$40 

$60  *" 

80  ^ 

100-96  =  4 

Ans.  %  4.00  loss. 

If  \  of  1st  part  equals  f  of 
2d  part,  all  of  the  1st  part 
must  equal  -^^  of  2d  part. 

f  +  ¥  ^  ¥- 

^f  p  =  12         ^-W-Q  -  40 

Ans.  12  and  40. 
23if  cu.  yd. 

Page  316. 

[  Avails  of  note,  $  108.84. 
[  Ans.  $181.40. 

Prin.   $1,000.00 

Int.  .  80.00  T.  1  y.  (0.08). 


61. 


Amt.      1,080.00 
1st  pyt.     200.00 


2d  prin.     880.00 

Int.  .  70.40  T.  1  y.  (0.08). 


Amt.         950.40 
2d  pyt.      200.00 


3d  prin.     750.40 

Int.  .  60.032  T.  13^(0.08). 


Amt.  810.432 

3d  pyt.      200.000 


4th  prin.    610.432  ,  rr.  -,       ka 
T4-  -i-'^q\1-1t'^-  5ci. 

Int.  .  4.^48  j  j^^Q^QQ.^^ 

I      Ans.   $615.18 


62. 


63.- 


4.40 


Ans. 

4.12xll0_ 
1.03xl00~ 

Ans.  $4.40. 
^  Area  of  large  end,    7.0686 
Area  of  small  end,   4.90875 
Mean  proportional,  5.8905 


17.86785 
17.86785x6X62^x0.06  =  4,020.26... 

Ans.  2T.  20.26...  lb. 

40'^  X  3.1416  =  5,026.56 
(^,^)^x  3.1416  =  4,417.875 


608.685 
Ans.  608.685  sq.  ft. 
V/32  + 33^  =33.136... 

Ans.  33.136...  miles. 
$  825.00. 
87.50x85 

~Too —  =  ^^^*- 

87.50x341 

—100 =  g^"^- 

87.50  x34ix  100 


100x87.50x85 

Ans.  401^% 


401^%. 


^' 


^  =  6.3639. 


69.  180  feet. 


70. 


Prin.    $481.60    from  June  8, '75, 
Int.    .      69.59    to  Nov.  4,  77. 

1st  payt.  180.60  ^^^*^«'0-14^^- 

2d  prin.  370.59 

Int.    .      11.056    to  May  3,  78. 


payt.  240.1 


(  T.  5  mo.  29  d. 
1  Ratio,  0.0294, 


3d  prin.  140.846 

Int.     .         3.145    to  Sept.  17,78. 


Amt.  .$143.99 


(T.  4  mo.  14  d. 


(  Ratio,  0.022^. 
2,889.60  -  143.99  =  2,745.61. 
Ans.  $2,745.61. 


ANSWERS. 


33 


ANSWEES    TO    DEILL   EXEECISES. 


SIMPLE    NUMBERS    (page  59). 

1 

2 

3 

4 

5 

8,478 

8,687 

51,952 

24,794 

113,839 

3,811 

4,390 

91,048 

20,466 

153,147 

5,674 

6,364 

35,090 

22,485 

96,700 

2,591 

2,678 

76,462 

18,766 

138,778 

8,985 

9,373 

27,025 

25,513 

89,258 

8,463 

9,325 

94,736 

25,423 

156,578 

5,514 

6,157 

63,264 

22,231 

125,312 

7,016 

7,404 

49,803 

23,494 

111,566 

2,930 

3,420 

39,803 

19,549 

101,925 

9,595 

10,333 

85,078 

26,451 

147,052 

2,337 

2,522 

101,898 

18,618 

163,525 

Q>,Q>2(5 

7,252 

23,474 

23,389 

85,230 

5,605 

6,067 

69,419 

22,171 

131,611 

9,556 

10,200 

92,084 

26,313 

153,885 

5,087 

5,709 

50,921 

21,774 

113,090 

3,309 

4,250 

77,626 

20,329 

139,262 

6,221 

6,979 

66,308 

23,114 

128,321 

2,105 

2,404 

31,443 

18,474 

93,190 

L0,611 

10,712 

50,642 

26,816 

113,090 

5,650 

6,377 

34,977 

22,476 

96,837 

8,182 

8,609 

104,072 

24,740 

166,038 

2,838 

3,090 

84,335 

19,177 

145,893 

4,663 

5,037 

56,407 

21,171 

118,650 

6,926 

7,211 

31,054 

23,317 

93,084 

9,021 

9,918 

94,856 

2h,%^h 

157,173 

34 


DRILL  EXERCISES. 


SIMPLE  NUMBERS 

(page  59 

. 

Examples. 

6         i 

7 

8 

9 

10 

1. 

75,985  1 

378 

621 

946 

1,538 

2. 

115,262 

3,737 

6,144 

8,814 

14,728 

3. 

58,860 

2,887 

5,292 

6,508 

10,528 

4o 

100,905 

3,193 

5,695 

8,559 

14,212 

5. 

51,437 

4,401 

6,123 

7,563 

11,824 

6. 

118,715 

303 

488 

770 

1,282 

7. 

87,425 

3,832 

5,151 

7,427 

11,213 

8. 

73,695 

355 

646 

918 

1,590 

9. 

64,093 

4,228 

6,008 

9,497 

15,062 

10. 

109,209 

1,363 

3,006 

4,585 

9,307 

11. 

125,660 

3,977 

6,169 

9,462 

16,076 

12. 

47,406 

2,751 

4,431 

5,814 

9,910 

13. 

93,774 

2,900 

5,907 

8,677 

13,118 

14. 

116,037 

2,924 

4,958 

7,133 

12,343 

15. 

75,194 

331 

550 

841 

1,560 

16. 

101,380 

3,164 

6,104 

9,209 

15,449 

17. 

90,495 

2,503 

4,511 

7.764 

12,882 

18. 

55,299 

19. 

75,079 

20. 

58,975 

21. 

128,208 

22. 

108,019 

23. 

80,823 

24. 

55,229 

25. 

119,279 

•,n: 


SIMPLE    NUMBERS   (page   59). 

«-» 

12 

13 

14 

15 

16 

2,591 

38,047 

5,036 

33,011 

3,072 

3,129 

79,898 

689 

80,587 

4,344 

7,835 

11,753 

3,244 

14,997 

1,410 

6,688 

61,083 

5,217 

66,300 

5,646 

4,444 

8,650 

3,099 

5,551 

5,148 

4,521 

75,000 

2,501 

72,499 

2,802 

6,433 

43,564 

2,299 

45,863 

4,038 

4,147 

33,621 

1,997 

31,624 

2,328 

7,480 

21,016 

5,961 

26,977 

4,482 

6,160 

61,396 

1,946 

59,450 

3,594 

8,868 

81,414 

7,076 

88,490 

1,512 

859 

13,443 

4,570 

8,873 

2,286 

6,818 

49,445 

2,656 

52,101 

4,902 

1,400 

78,080 

6,944 

71,136 

2,556 

3,631 

37,454 

6 

37,460 

4,764 

5,605 

60,471 

3,572 

64,043 

1,566 

2,090 

54,085 

2,549 

51,536 

3,828 

8,397 

11,963 

7,019 

18,982 

2,232 

6,076 

28,371 

3,391 

24,980 

5,514 

3,253 

21,011 

1,071 

19,940 

2,910 

4,966 

85,090 

2,020 

83,070 

3,546 

9,075 

62,684 

6,762 

69,446 

1,098 

5,582 

40,142 

2,345 

42,487 

5,208 

3,310 

17,180 

2,548 

14,632 

3,930 

3,254 

77,528 

1     3,878 

73,650 

5,652 

36 


DRILL  EXERCISES. 


SIMPLE    NUMBERS    (page  59). 

17 

18 

19 

20 

21 

55,307 

2,192 

25,785 

33,280 

4,045,312 

21,371 

4,904 

33,678 

24,616 

2,210,372 

37,520 

6,152 

77,436 

18,565 

1,259,600 

11,228 

1,064 

61,389 

43,286 

1,509,364 

56,203 

3,888 

44,370 

84,084 

6,888,882 

5d,5^0 

7,344 

48,951 

26,152 

3,707,980 

33,663 

5,400 

63,972 

21,536 

3,236,457 

46,060 

3,488 

41,247 

18,624 

2,553,040 

14,672 

4,616 

72,513 

64,989 

1,565,712 

62,440 

6,512 

62,766 

45,524 

5,343,080 

14,217 

1,912 

81,963 

13,608 

511,812 

43,050 

5,768 

14,220 

36,195 

2,343,150 

32,942 

4,352 

66,258 

66,994 

3,844,802 

63,413 

5,720 

19,035 

30,246 

3,859,134 

29,890 

5,160 

38,484 

18,262 

3,390,380 

21,077 

7,824 

59,247 

9,657 

785,871 

38,430 

6,808 

26,469 

59,334 

3,502,620 

11,935 

2,616 

78,516 

10,416 

634,260 

67,410 

1,304 

56,151 

56,978 

8,849,970 

35,756 

6,272 

36,333 

27,645 

2,477,380 

52,514 

4,128 

49,338 

52,599 

4,433,682 

18,270 

2,376 

84,348 

8,235 

477,630 

25,921 

3,728 

54,432 

79,856 

3,214,204 

43,449 

2,792 

32,931 

41,920 

4,065,585 

56,378 

7,376 

37,584 

23,550 

7,586,868 

ANSWERS. 

61 

SIMPLE    NUMBERS    (page    59). 

Examples. 

22 

23 

24 

25 

1. 

2,164,874 

785,010 

11,209,888 

323,245,712 

2. 

1,871,489 

2,293,846 

51,271,320 

255,352,920 

3. 

4,121,840 

6,616,476 

j 

15,654,533 

109,113,520 

4. 

213,332 

907,193 

9,031,232 

108,918,016 

5. 

3,902,094 

2,395,980 

6,599,880 

109,033,820 

6. 

7,288,920 

4,993,002 

73,843,002 

638,685,660 

7. 

3,246,075 

4,797,900 

34,203,600 

243,681,648 

8. 

2,868,880 

1,998,188 

16,656,944 

251,382,320 

9. 

1,209,392 

4,648,889 

16,775,121 

60,937,008 

10. 

7,260,880 

5,676,836 

55,653,180 

609,860,400 

11. 

485,409 

2,176,573 

21,634,519 

183,848,151 

12. 

4,434,150 

1,139,180 

10,831,583 

92,391,450 

13. 

2,560,064 

4,004,928 

30,903,008 

267,333,742 

14. 

6,477,185 

1,512,225 

57,339,425 

726,486,505 

15. 

2,754,150 

2,758,020 

26,915,850 

178,187,100 

16. 

2,944,758 

6,438,174 

65,578,812 

201,899,594 

17. 

4,671,990 

2,502,791 

48,529,126 

313,072,740 

18. 

557,535 

2,852,748 

6,764,649 

35,271,335 

19. 

1,569,690 

1,016,957 

5,641,430 

333,294,300 

20. 

4,004,672 

3,165,008 

19,637,632 

127,945,184 

21. 

3,871,032 

2,828,712 

46,735,152 

679,471,144 

22. 

775,170 

2,783,484 

21,400,632 

188,066,160 

23. 

1,725,598 

2,818,368 

21,524,540 

171,041,570 

24. 

2,166,243 

1,276,991 

7,272,811 

129,347,673 

25. 

7,425,788 

3,850,272 

75,331,088 

658,044,016 

38 


DRILL  EXERCISES. 


SIMPLE 

NUMBERS  (page  59). 

Examples. 

26 

27 

28 

29 

30       \      31 

1. 

7,324 

11,004 

3,891 

233,636 

72,244 

18,900 

2. 

2,295 

6,906 

8,527 

530,586 

52,545 

20,778 

3. 

5,046    14,498 

6,709 

750,181 

106,375 

24,773 

4. 

617 

9,233 

9,759 

65,362 

65,123 

19,298 

5. 

7,073 

13,331 

3,417 

473,392 

91,016     26,885 

0. 

7,417 

13,830 

3,897 

839,397 

97,578 

28,147 

7, 

4,104 

11,919 

6,822 

625,678 

90,443 

26,072 

8. 

6,144 

11,211 

5,336 

398,668 

79,196 

19,839 

9. 

1,262 

10,323 

9,461 

549,081 

81,071  '  23,970 

10. 

8,245 

16,109 

2,785 

747,258 

115,010  1  30,838 

!1. 

1,725 

11,151 

10,021 

148,957 

86,715  '  16,287 

12. 

5,674 

8,070 

5,773 

707,419 

54,587     19,471 

13. 

3,807 

12,341 

6,781 

488,281 

90,940     26,222 

14. 

8,562 

11,463 

2,819 

636,235 

76,279     23,299 

15. 

3,453 

8,695 

7,240 

604,560 

64,343     23,581 

16. 

2,713 

10,311 

9,032 

912,902 

77,576     22,962 

17. 

4,759 

8,644 

6,176 

795,676 

62,425     24,172 

18. 

1,305 

10,474 

10,227 

306,967 

82,311     17,746 

19. 

8,649 

16,625 

1,755 

128,716 

108,833     26.852 

20. 

4,566 

9,444 

6,711 

760,520 

68,432     22,619 

21. 

6,822 

13,059 

4,211 

426,460 

92,480     24,570 

22. 

2,382 

12,096 

9,511 

225,538 

92,715     17,079 

23. 

2,743 

10,153 

7,733 

420,742 

73,864     23,557 

24. 

;  5,488 

10,172 

5,442 

328,859 

68,957     20,255 

25. 

,  7,087 

12,250 

3,308 

842,140 

88,186 

31,792 

ANSWERS. 

3( 

SIMPLE  NUMBERS  (pages  59,  61). 

1   32 

33 

34 

43 

44 

37,773 

8,139 

4,803 

117,251f 

93,801f 

79,285 

3,164 

6,618 

185,875 

148,700 

10,984 

4,826 

2,352 

155,0211 

124,017 

60,950 

2,412 

8,607 

200,1643 

160,131i 

8,161 

8,401 

8,016 

97,425 

77,940 

74,082 

7,489 

4,371 

239,200 

191,360 

42,889 

4,807 

6,153 

71,251 

57,000| 

33,185 

6,532 

3,636 

125,094 

100,0751 

20,439 

2,266 

6,984 

168,850 

135,080 

60,582 

8,705 

5,619 

183,225 

146,580 

81,175 

2,044 

2,430 

121,575 

97,260 

12,722 

5,810 

3,714 

210,003f 

168,003 

48,901 

4,979 

7,599 

142,517 

114,013f 

77,365 

8,770 

4,047 

240,600 

192,480 

36,809 

4,419 

7,215 

108,900 

87,120 

59,493 

2,294 

2,460 

175,2101 

140,168f 

53,234 

5,277 

6,021 

164,925 

131,940 

11,636  1 

1,750 

3,432 

200,2183- 

160,175 

28,208 

10,386 

8,457 

160,751f 

128,601f 

20,227 

4,809 

4,536 

87,523 

70,018| 

84,574 

7,577 

5,586 

200,1911 

160,153 

62,387  1 

2,496 

1,782 

117,2511 

93,801f 

39,676 

4,105 

8,088 

195,625 

156,500 

16,831 

6,513 

6,087 

236,5011 

189,2011 

76,606 

8,074  ■ 

8,553 

116,325 

93,060 

40 


DRILL  EXERCISES. 


SIMPLE    NUMBERS   (page  61). 


Examples. 
1. 


45 

1,341,058-1 

1,088,4631 
775,730 

l,303,410f 

1,511,3861 
963,771t 
650,957t 
474,895 

1,078,476 
963,8431 


46 

l,149,478f 

932,968f 
664,911f 
1,117,209 
1,295,474 
826,090 
557,9635 
407,052f 
924,408 
826,151f 


1,260,1411  l,080,121f 

612,013t   524,583f 

820,268    703,086f 

1,571,762  l,347,224f 

697,843^   598,151f 

l,068,390f   915,763} 

266,451    228,386^ 

1,236,848^  l,060,155f 

1,075,1181   921,530f 

472,5111  ;  405,009f 

884,456^   758,105^ 

590,114f  I  505,812f 

1,231,7441 !  1,055,7811 

1,013,9571  j  869,106f 

1,234,7751   1,058,379 


47 

48 

5S,625l 

52,111| 

92,937| 

82,6111 

77,510f 

68,8983 

100,0821 

88,9621 

48,712| 

43,300 

119,600 

106,3111 

35,625| 

31,6671 

62,547 

55,597| 

84,425 

75,044| 

91,6121 

81,4331 

60,787| 

54,0331 

105,0011 

93,335 

71,2581 

63,340| 

120,300 

106,9331 

54,450 

48,400 

87,605| 

77,871| 

82,462| 

73,300 

100,1091 

88,9861 

80,375| 

71,445f 

43,761| 

38,8991 

100,095f 

88,973f 

58,625i 

52,lllf 

97,812| 

86,944| 

118,2501 

105,1111 

58,162| 

51,700 

49 

505^^2 
450t«2 
670t9^ 
604^^ 
257t\ 
375t\ 
232t-\ 
467^ 
763^ 

507tV 
70811 
344^-^^ 

308i| 

679A 
364t^ 

456^^^ 

91A 
700t^ 
544^2^ 
600^2 
713x% 
359 
330 
567iL 


ANSWERS. 

SIMPLE  NUMBERS  (page  61).* 

404;  8 

51    ... 
29,312;  15 

52   ,.„.. 
26,055  ;  17 

53 

298,013 

360;  6 

46,468;  12 

41,305  ;  10 

241,880 

536;  9 

38,755;  5 

34,449  ;  3 

172,384 

483;  5 

50,041 ;  3 

44,481 ;  1 

289,646 

205;  12 

24,356  ;  4 

21,650 

335,863 

300;  3 

59,800 

53,155;  10 

214,171 

186 

17,812  ;  12 

15,833  ;  10 

144,657 

373; 

13 

31,273 ;  8 

27,798  ;  12 

105,532 

610; 

10 

42,212;  8 

37,522  ;  4 

239,661 

405; 

10 

45,806;  4 

40,716  ;  12 

214,187 

567; 

2 

30,393;  12 

27,016  ;  12 

280,031 

275; 

5 

52,500  ;  15 

46,667  ;  9 

136,003 

472; 

9 

35,629 ;  4 

31,670  ;  8 

182,281 

247, 

1 

60,150 

53,466  ;  12 

349,280 

543 

9 

27,225 

24,200 

155,076 

291 

5 

43,802  ;  11 

38,935;  13 

237,420 

365 

5 

41,231 ;  4 

36,650 

59,211 

72 

14 

50.054;  11 

44,493  ;  1 

274,855 

560 

,  6 

40,187  ;  15 

35,722  ;  11 

238,915 

435 

,  o 

21,880  ;  12 

19,449 ;  10 

105,002 

480 

;  9 

50,047  ;  13 

44,486 ;  17 

196,545 

570 

;  10 

29,312  ;  15 

26,055 ;  17 

131,136 

j  287 

;  3 

48.906 ;  4 

43,472 ;  4 

273,721 

264 

59.125  ;  7 

52,555;  17 

225,323 

I  453 

;  10 

29,081 ;  4 

i  25,850 

274,394 

41 


*  For  the  sake  of  being  read  more  easily,  the  answers  to  examples  in  Exercises 
0  are  put  in  their  simplest  form,  with  remainders  merely. 


42 


DRILL  EXERCISES. 


Examples. 
1. 

54 
134 

Rem. 

38 

2. 

79; 

34 

3. 

108; 

57 

4. 

129; 

26 

5. 

64; 

15 

6. 

70 

23  1 

7. 

35 

60 

8. 

67 

43 

9. 

169 

34 

10. 

80 

5 

11. 

146 

39 

12. 

87 

41 

13. 

108 

62 

14. 

69 

49 

15. 

166 

20 

16. 

52 

2 

17. 

69 

29 

18. 

17 

23 

19. 

147 

,  27 

20. 

94 

;  44 

21, 

96 

;  9 

22. 

127 

;  51 

23. 

73 

;  1 

24. 

86 

;  4 

25. 

93 

;  16 

SIMPLE    NUMBERS   (page   61). 

10,422;  17 
10,933  ;  m 

8,379  ;  39 
14,297  ;  27 

8,118  ;  36 
14,950 

3,653  ;  70 

6,028  ;  52 
12,507  ;  22 

9,643  ;  32 

8,384;  28 
17,872  ;  31 

8,770  ;  18 
18,158  ;  26 

8,889  ;  39 

8,343;  31 

8,350;  50 
12,712  ;  19 
11,280  ;  47 

5,073  ;  bb 
10,676;  m 

7,000  ;  7 
13,262  ;  42 
20,565;  17 

6,373;  71 


56 

12,417; 

Rem. 

136 

5 

77; 

13,807  ; 

70 

137; 

5,574 ; 

90 

77; 

13,210 

143 

110; 

12,490 

578 

126; 

6,061 

436 

212; 

10,642 

132 

102; 

9,859 

119 

89; 

10,190 

206 

73; 

11,826 

148 

120; 

20,162 

99 

57; 

5,329 

402 

203; 

6,441 

684 

80; 

10,902 

342 

259; 

5,260 

103 

53; 

18,473 

211 

160; 

2,728 

98 

120; 

11,835 

544 

732; 

16,330 

363 

76; 

3,841 

410 

53; 

9,165 

204 

111; 

7,285 

177 

54; 

7,845 

,  478 

181; 

21,883 

;  271 

238; 

12,621 

;  126 

68; 

Rem. 

1,771 


SIMPLE 

xamples. 
1. 

5( 
1,326  ; 

Q 

184 

2. 

1,208  ; 

333 

3. 

578, 

2,058 

4o 

1,078  , 

4,963 

5. 

2,937 

1,799 

6. 

1,284 

778 

7. 

1,399 

2,536 

8. 

508 

2,538 

9. 

706 

3,896 

10. 

950 

2,312 

11. 

888 

6,633 

12. 

889 

513 

13. 

694 

6,700 

14. 

2.544 

2,508 

15. 

513 

4,061 

16. 

1,466 

,  3,922 

17. 

291 

;  4,026 

18. 

6,783 

,  487 

19. 

767 

,  3,311 

20. 

434 

;  1,048 

21. 

736 

;  915 

22. 

413 

;  5,407 

23. 

1.715 

;  2,248 

24. 

1,536 

;  1,185 

25. 

1,088 

;  4,813 

ANSWERS. 

NUMBERS 

5& 

586; 

Kern. 

207 

929; 

300 

775; 

85 

1,000  ; 

659 

487; 

100 

1,196 

356 

204 

625 

376 

844 

200 

916 

100 

607 

700 

1,050 

15 

712 

468 

1,203 

544 

400 

876 

43 

824 

500 

1,001 

75 

803 

607 

437 

492 

1,000 

765 

586 

207 

978 

,  100 

1,182 

407 

581 

,  500 

(page  61). 


6 

1,915  ; 

0  ^... 
3,352 

1,554 

3,981 

1,108 

780 

1,862 

63 

2,158 

4,718 

1  1,376 

3,430 

j      929 

3,946 

i      678 

1,770 

1,540 

2,856 

1,376 

3,862 

1,800 

,  849 

874 

,  1,283 

1,171 

;  3,408 

2,245 

,  1,572 

996 

,  3,863 

1,526 

,  1,142 

380 

2,706 

1,766 

3,889 

1,535 

,  3,713 

675 

Q>S 

1,263 

,  2,139 

843 

,  87 

1,759 

6,268 

!   1,448 

;  2,145 

1,763 

;  4.053 

43 

61 
53,633 

52,819 

55,830 

54,770 

50,733 

52,393 

50,107 

52,852 

56,721 

53,522 

55,812 

51,738 

54,783 

51,496 

55,871 

51,673 

53,017 

48,656 

55,730 

54,209 

54,735 

55,985 

52,181 

51.156 


54,337 


44 


DRILL  EXERCISES. 


SIMPLE    NUMBERS    (page  61). 


Examp 
1. 

les.      Q2 

541,246 

63 

7,577,345 

64 

3,356,282 

65 

2,845,934,476 

2. 

814,925 

5,787,281 

904,219 

4,019,361,000 

3, 

694,521 

4,034,295 

1,546,470 

4,991,064,165 

4. 

874,035 

7,019,804 

186,127 

5,804,777,750 

5, 

459,039 

8,678,618 

5,171,318 

1,203,003,900 

6. 

1,027,799 

4,825,830 

3,785,370 

4,308,470,400 

7 

353,717 

3,620,742 

1,055,706 

795,161,160 

8 

571,834 

2,348,994 

2,154,390 

2,806,108,608 

9 

750,727 

5,795,456 

283,144 

6,186,664,000 

10 

805,028 

5,050,162 

1,545,938 

4,459,696,500 

11 

560,718 

7,074,549 

2,697,849 

4,136,954,100 

12 

910,359 

2,832,068 

4,728,067 

3,469,261,950 

13 

643,457 

4,351,540 

779,072 

4,037,221,576 

14 

1,032,502 

8,468,172 

193,428 

3,566,654,400 

15 

510,077 

3,751,463 

168,937 

3,551,882,400 

16 

771,122 

5,709,499 

598,088 

3,062,683,910 

17 

731,323 

939,006 

4,998,294 

3,615,156,000 

18 

868,137 

6,620,214 

587,661 

876,157,250 

19 

717,343 

5,807,706 

20,643 

5,405,116,842 

20 

422,907 

2,484,976 

665,852 

2,286,100,760 

21 

874,106 

4,505,974 

2,700,911 

'5,772,714,885 

22 

543,598 

3,071,680 

1,149,383 

4,014,699,920 

23 

853,287 

6,607,968 

434,532 

3,371,010,000 

24 

1,015,769 

5,137,738 

3,376,325 

3,746,187,720 

25 

538,243 

6,943,353 

2,775,653 

3,166,366,500 

ANSWERS 

4 

SIMPLE   NUMBERS   (page  61). 

examples. 

66 

67 

68 

69 

70 

1. 

3,773,795,412,464 

413,836 

401,847 

8,012 

5,528 

2. 

4,855,635,673,500 

218,323 

684,710 

6,825 

4,590 

3. 

2,886,111,222,300 

689,176 

531,245 

10,554 

7,161 

4. 

6,261,524,085,117 

343,214 

722,239 

9,026 

6,578 

5. 

3,533,923,524,600 

523,989 

351,570 

5,265 

2,511 

6. 

5,532,820,384,000 

905,613 

902,230 

7,365 

3,735 

7. 

1,113,153,232,984 

131,899 

253,434 

3,891 

1,854 

8. 

1,425,756,363,120 

77,913 

441,406 

6,475 

4,612 

9. 

4,370,416,142,400 

394,065 

577,450 

11,065 

8,512 

10. 

4,238,406,139,800 

233,036 

667,160 

7,552 

5,173 

11. 

3,676,840,868,700 

132,118 

397,480 

9,632 

7,811 

12. 

3,084,604,801,245 

470,591 

791,825 

6,197 

3,566 

13. 

2,805,651,229,344 

576,614 

491,608 

9,374 

6,302 

14. 

9,075,982,492,800 

744,519 

916,690 

6,301 

3,070 

15. 

1,823,884,642,800 

625,462 

346,100 

10,542 

7,566 

16. 

4,492,643,318,306 

116,039 

653,673 

5,411 

3,362 

17. 

1,054,666,348,200 

337,916 

599,040 

7,238 

4,532 

18. 

5,943,364,652,875 

392,035 

783,665 

2,975 

338 

19. 

4,147,853,613,991 

147,619 

554,997 

9,591 

7,722 

20. 

992,534,626,256 

538,114 

277,412 

8,744 

5,702 

21. 

4,249,450,855,335 

328,032 

722,885 

8,946 

6,309 

22. 

1,660,606,987,809    227,636 

378,547 

10,018 

7,756 

23. 

5,783,041,210,000  '  883,056 

730,000 

7,134 

3,600 

24. 

5,755,265,356,215  !    73,324 

903,627 

4,794 

3,408 

25. 

3,447,246,240,900 

337,764 

391,380 

s,mQ> 

5,929 

46 


DRILL  EXERCISES. 


SIMPLE    NUMBERS   (pages  61,  63). 

73  I 

28  cows;  $36 


13 
22 
21 
30 
29 
9 
6 
23 
12 
12 
29 
23 
32 
32 
8 
14 
19 
13 
21 
15 
14 
31 
12 
16 


71 

72 

23,092 

l,791f 

26,758 

1,621| 

53,741 

2,380 

25,902 

2,200f 

31,761 

771 

56,553 

l,161f 

25,836 

781f 

18,379 

1,7451 

25,130 

2,823| 

41,079 

1,840 

13,243 

2,69H 

28,253 

1,131^ 

42,578 

2,084^ 

42,139 

9291 

30,850 

2,4361 

24,778 

1,313 

40,814 

1,605 

38,407 

134§ 

14,109 

2,6511 

44,392 

l,907f 

36,216 

2,185 

24,002 

2,669 

41,270 

1,1021 

8,828 

1,212 

36,046 

2,048^ 

82 


36 

914,041 

62 

1,040,014 

42 

976,067 

8 

1,678 

12 

63,306,000 

52 

19,900,019 

32 

170,000,007 

80 

10,001,101 

28 

305,050,000 

m 

12,200,002 

54 

1,018,008 

15 

1,000,600,006 

33 

904,000,094 

34 

3,030,000,303 

24 

2,000,412,014 

22 

101,001,001 

m 

6,000,060,600 

57 

403,000,000,030 

49 

1,000,017,000,000 

27 

506,000,065,005 

33 

4,004,000,004,000 

34 

689,000,006,089 

bb 

42,000,000,040,200 

4 

18,000,108,000,018 

6 

4,047,000,004,700 

ANSWERS. 

47 

SIMPLE    NUMBERS   (page 

63). 

1. 

Lines 

1  and  2, 

83              Ans. 

1,954,055 

Lii 
It 

les 

0  6,^ 

84          Ans. 

^              86,137,819 

2. 

2 

"    3, 

2,016,081 

2  ' 

'   7, 

255,223,785 

3. 

3 

"    4, 

977,745 

3  ' 

'  8, 

264,184,872 

4. 

4 

"    5, 

63,307,678 

4  ' 

'   9, 

568,258,805 

5. 

5 

"    6, 

83,206,019 

5  ' 

ao, 

580,457,129 

6. 

6 

"    T, 

189,900,026 

6  ' 

'11, 

518,169,137 

7. 

rr 

< 

"    8, 

180,001,108 

7  ' 

^2, 

1,498,869,124 

8. 

8 

"    9, 

315,051,101 

8  ' 

a3. 

2,232,869,211 

9. 

9 

'^0, 

317,250,002 

9  ' 

a4. 

5,252,868,413 

10. 

10 

"  11. 

13,218,010 

10  ' 

^5, 

6,948,230,427 

11. 

11 

"12, 

1,001,618,014 

11^ 

•16, 

7,037,031,426 

12. 

12 

"13, 

1,904,600,100 

12  ' 

^7, 

13,036,074,018 

13. 

13 

"14, 

3,934,000,397 

13  ^ 

'18, 

415,035,474,042 

14. 

14 

"15, 

5,030,412,317 

14  ' 

'19, 

1,414,148,473,948 

15. 

15 

"16, 

2,101,413,015 

15  ' 

'20, 

1,917,118,538,650 

16. 

16 

"17, 

6,101,061,601 

16  ^ 

'21, 

5,919,118,130,636 

17. 

17 

-  18, 

409,000,060,630 

17  ' 

'22, 

6,608,017,135,724 

18. 

18 

"19, 

1,403,017,000,030 

18  ' 

'23, 

48,602,017,115,324 

19. 

19 

"20, 

1,506,017,065,005 

19  ' 

'24, 

66,199,125,115,312 

20. 

20 

"21, 

4,510,000,069,005 

20  ^ 

'25, 

69,246,108,120,012 

21. 

21 

"  22, 

4,693,000,010,089 

*  Inclusive. 

22. 

22 

"  23, 

42,689,000,046,289 

23. 

23 

"24, 

60,000,108,040,218 

24. 

24 

"25, 

22,047,108,004,718 

48 


DRILL  EXERCISES. 


SIMPLE    NUMBERS   (page   63). 


Examples. 
1. 

Lines 

1  and  2, 

S5                 Ans. 

125,973 

86 
5,484,246 

2, 

9 

"    3, 

63,947 

6,240,084 

3. 

3 

"    4, 

974,389 

5,856,402 

4. 

4 

"    5, 

63,304,322 

10,068 

5. 

5 

"    6, 

43,405,981 

379,836,000 

6. 

6 

''    7, 

150,099,988 

119,400,114 

7. 

7 

-    8, 

159,998,906 

1,020,000,042 

8. 

8 

"    9, 

295,048,899 

60,006,606 

9. 

9 

'ao, 

292,849,998 

1,830,300,000 

10. 

10 

"11, 

11,181,994 

73,200,012 

11. 

11 

"19 

999,581,998 

6,108,048 

12. 

12 

"  13, 

96,599,912 

6,003,600,036 

13. 

13 

"14, 

2,126,000,209 

5,424,000,564 

14. 

14 

"15, 

1,029,588,289 

18,180,001,818 

15. 

15 

"16, 

1,899,411,013 

12,002,472,084 

16. 

16 

"17, 

5,899,059,599 

606,006,006 

17. 

17 

"18, 

396,999,939,430 

36,000,363,600 

18. 

18 

"  19, 

597,016,999,970 

2,418,000,000,180 

19. 

19 

"20, 

494,016,934,995 

6,000,102,000,000 

20. 

20 

"21, 

3,497,999,938,995 

3,036,000,390,030 

21. 

21 

"  22 

3,314,999,997,911 

24,024,000,024,000 

22. 

22 

"  23, 

41,311,000,034,111 

4,134,000,036,534 

23. 

23 

"24, 

23,999,892,040,182 

252,000,000,241,200 

24. 

24 

"25, 

13,953,107,995,318 

108,000,648,000,108 

25. 

24,282,000,028,200 

ANSWERS. 


49 


SIMPLE    NUMBEKS    (page  63). 


87 

6,398,287 

7,280,098 

6,832,469 

11,746 

443,142,000 

139,300,133 

1,190,000,049 

70,007,707 

2,135,350,000 

85,400,014 

7,126,056 

7,004,200,042 

6,328,000,658 

21,210,002,121 

14,002,884,098 

707,007,007 

42,000,424,200 

2,821,000,000,210 

7,000,119,000,000 

3,542,000,455,035 

28,028,000,028,000 

4,823,000,042,623 

294,000,000,281,400 

126,000,756,126 


28,329,000,032,900 


88 


7,312,328 

8,320,112 

7,808,536 

13,424 

506,448,000 

159,200,152 

1,360,000,056 

80,008,808 

2,440,400,000 

97,600,016 

8,144,064 

8,004,800,048 

7,232,000,752 

24,240,002,424 

16,003,296,112 

808,008,008 

48,000,484,800 

3,224,000,000,240 

8,000,136,000,000 

4,048,000,520,040 

32,032,000,032,000 

5,512,000,048,712 

336,000,000,321,600 

144,000,864,004144  "  Z 

32,37q^5Qy37#0 


02r 


^1^,^. 


ir^^s"^ 


50 


DRILL  EXERCISES. 


SIMPLE    NUMBERS 

(page   63). 

Examples. 

89 

90 

1. 

8,226,369 

152,340^ 

2, 

9,360,126 

173,3351 

3. 

8,784,603 

162,6771 

4. 

15,102 

279t 

5. 

569,754,000 

10,551,000 

6. 

179,100,171 

3,316,6691 

7. 

1,530,000,063 

28,333,334t 

8. 

90,009,909 

1,666,850^ 

9. 

2,745,450,000 

50,841,6661 

10. 

109,800,018 

2,033,3331 

11. 

9,162,072 

169,668 

12. 

9,005,400,054 

166,766,6671 

13. 

8,136,000,846 

150,666,682§ 

14. 

27,270,002,727 

505,000,050f 

15. 

18,003,708,126 

333,402,0021 

16. 

909,009,009 

16,833,500^ 

17. 

54,000,545,400 

1,000,010,100 

18. 

3,627,000,000,270 

67,166,666,6711 

19. 

9,000,153,000,000 

166,669,500,000 

20. 

4,554,000,585,045 

84,333,344,167f 

21. 

36,036,000,036,000 

667,333,334,000 

22. 

6,201,000,054,801 

114,833,334,348^ 

23. 

378,000,000,361,800 

7,000,000,006,700 

24. 

162,000,972,000,162 

3,000,018,000,003 

25. 

36,423,000,042,300 

674,500,000,7831 

ANSWERS. 


61 


SIMPLE    NUMBERS    (page   63). 


91 


130,5771- 

148,573f 

139,4381 

239f 

9,043,714f 

2,842,859f 

24,285,715f 

l,428,728f 

43,578,571f 

l,742,857f 

145,429f 

142,942,858 

129,142,870* 

432,857,1861 

285,773,144^ 

14,428,714f 

857,151,5141 

57,571,428,575^ 

142,859,571,428^ 

72,285,723,572] 


572,000,000,571f 


98,428,572,298f 

6,000,000,005,742f 

2,571,444,000,002^ 

578,142,857,814f 


92 
114,2551 

130,0011 

122,0081 

209§ 

7,913,250 

2,487,5021 

21,250,000^ 

l,250,137f 

38,131,250 

l,525,000f 

127,251 

125,075,0001 

113,000,0111 

378,750,0371 

250,051,5011 

12,625,1251 

750,007,575 

50,375,000,003-1 

125,002,125,000 

63,250,008,1251 

500,500,000,500 

86,125,000,7611 

5,250,000,005,025 

2,250,013,500,0021 

505,875,000,5871 


93 


101,560^ 
115,557^ 
108,4511 
1861 
7,034,000 
2,211,1131 
18,888,8891 
l,lll,233f 
33,894,4441 
l,355,555f 
113,112 
111,177,7781 
100,444,4541 
336,666,7001 
222,268,0011 
11,222,333^ 
666,673,400 
44,777,777,781^ 
111,113,000,000 
56,222,229,445 
444,888,889,3331 
76,555,556,232-^ 
4,666,666,671,1331 
2,000,012,000,002 
449,666,667.188f, 


52 


DRILL  EXERCISES. 


SIMPLE    NUMBERS   (page   63 

). 

xamples. 

94 

95 

96 

97 

1. 

2,016 

234 

413 

30t^\ 

2. 

3,796 

819 

160 

56 

3. 

8,019 

594 

558 

205^9^ 

4. 

2,160 

648 

84 

27 

5. 

6,400 

432 

408 

111 

6. 

5,775 

833 

120 

5S^% 

7. 

3,584 

1,820 

44 

12M-I 

8. 

6,392 

1,190 

240 

mn 

9. 

4,131 

1,224 

129 

261^7 

10. 

6,048 

648 

366 

74|t 

11. 

7,392 

748 

512 

256 

12. 

7,448 

840 

245 

17111 

13. 

1,728 

912 

90 

6141 

14. 

2,115 

117 

200 

27t§^ 

15. 

5,562 

0 

414 

m'o 

16. 

3,168 

198 

354 

4T§| 

17. 

7,980 

2,508 

129 

46,3^0 

18. 

9,065 

924 

224 

129«f 

19. 

5,395 

715 

280 

49t¥^ 

20. 

.     3,840 

0 

712 

64 

21. 

5,236 

2,652 

54 

14|if 

22. 

7,728 

1,680 

284 

5^i%\ 

23. 

6,039 

385 

756 

1683f 

24. 

8,372 

1,092 

399 

357 

25. 

2,652 

104 

432 

41H 

ANSWERS. 

53 

UNITED    STATES    MONEY   (page   73). 

amples. 

105 

106 

107 

108        1 

109 

1. 

S  12.25 

ct.            j 

1,840    ! 

j 

12^250 

11,275.92    ! 

$  295.94 

2, 

71.90 

8,322 

71,900 

1,335.57 

600.10 

3. 

25.62 

3,641 

25,620 

1,289.29 

459.263 

4. 

18.09 

3,005 

18,090 

1,281.76 

404.773 

5, 

130.06 

20,475 

130,060 

1,393.73 

1,332.833 

6. 

0.0/ o 

920 

5,075 

1,268.745 

1,148.093 

7, 

1.908 

563 

1,908 

1,265.578 

1,155.09 

8. 

100.20 

87,600 

100,200 

1,363.87 

1,149.185 

9, 

49.72 

10,035 

49,720 

1,313.39 

206.125 

lOo 

6.073 

1,520 

6,073 

1,269.743 

56.712 

11. 

0.275 

136 

275 

1,263.945 

70.443 

12. 

12.19 

2,095 

12,190 

1,275.86 

181.12 

13, 

0.255 

40 

255 

1,263.925 

161.30 

14. 

16.006 

1,900 

16,006 

1,279.676 

679.483 

15, 

49.24 

6,307 

49,240 

1,312.91 

645.275 

16. 

5.675 

764 

5,675 

1   1.269.345 

1,071.538 

17, 

99.56 

41,928 

99,560 

1,363.23 

1,415.781 

18. 

0.178 

62 

178 

\    1.263.848 

927.566 

19o 

38.005 

50,057 

38,005 

1,301.675 

938.523 

20. 

!      89.503 

26,806 

89,503 

1,353.173 

554.058 

21. 

0.925 

2,970 

925 

1,264.595 

645.379 

22. 

0.755 

1,100 

755 

1,264.425 

723.953 

23. 

1      54.09 

1  10,002 

54,090 

1,317.76 

24. 

4.444 

44,444 

4,444 

\   1,268.114 

25o 

!       9.099 

1  10,010 

9,099 

1,272.769 

54 


DRILL   EXERCISES. 


UNITED    STATES    MONEY 

(page   73). 

Bxamp 
1. 

$  881.60 

111 
%  6.15 

112 
%  110.40 

113 

%  85.75 

114 
$165.60 

2, 

816.78 

11.32 

499.32 

503.30 

748.98 

3. 

863.59 

10.79 

218.46 

179.34 

327.69 

1. 

869.95 

11.96 

180.30 

126.63 

270.45 

5. 

695.25 

74.69 

1,228.50 

910.42 

1,842.75 

6. 

890.792 

4.133 

55.248 

35.525 

82.872 

7. 

894.368 

3.724 

33.792 

13.356 

50.688 

8. 

24.00 

775.80 

5,256.00 

701.40 

7,884.00 

9, 

799.65 

50.63 

602.10 

348.04 

903.15 

10. 

884.793 

9.134 

91.242 

42.511 

136.863 

11 

898.64 

1.085 

8.16 

1.925 

12.24 

12 

879.05 

8.76 

125.70 

85.33 

188.55 

13 

899.598 

0.147 

2.412 

1.785 

3.618 

14 

880.995 

2.999 

114.03 

112.042 

171.045 

15 

836.928 

13.832 

378.432 

344.68 

567.648 

16 

892.355 

1.97 

45.87 

39.725 

68.805 

17 

480.72 

319.72 

2,515.68 

696.92 

3,773.52 

18 

899.375 

0.447 

3.75 

1.246 

5.625 

19 

399.43 

462.565 

3,003.42 

266.035 

4,505.13 

20 

631.94 

178.557 

1,608.36 

626.521 

2,412.54 

21 

870.30 

28.775 

178.20 

6.475 

267.30 

22 

888.995 

10.25 

66.03 

5.285 

99.045 

23 

799.98 

45.93 

600.12 

378.63 

900.18 

24 

455.56 

439.996 

2,666.64 

31.108 

1  3,999.96 

25 

799.90 

91.001 

600.60 

63.693 

1     900.90 

ANSWERS. 

bd 

UNITED    STATES    MONEY 

(page  73). 

115 

116 

117 

118 

119 

$1.84 

$1.11 

%  1.02 

$2.63 

73H 

8.32 

6.54 

6.00 

11.89 

332e 

3.64 

2.33 

2.13 

5.20 

145if 

3.01 

1.64 

1.51 

4.29 

120/^ 

20.48 

11.82 

10.84 

29.25 

819 

0.92 

0.46 

0.42 

1.32 

sm 

0.56 

0.47 

0.16 

0.80 

22B 

87.60 

9.11 

8.35 

125.14 

3,504 

10.04 

4.52 

4.14 

14.33 

401^^ 

1.52 

0.55 

0.51 

2.17 

60|g- 

0.14 

0.03 

0.02 

0.19 

5H 

2.10 

1.11 

1.02 

2.99 

83ii 

0.04 

0.02 

0.02 

0.06 

IM 

1.90 

1.46 

1.33 

2.72 

76 

6.31 

4.48 

4.10 

9.01 

252/^ 

0.76 

0.52 

0.47 

1.09 

30if 

41.93 

9.05 

8.30 

59.89 

1,677^\ 

0.06 

0.16 

0.01 

0.09 

m 

50.06 

3.46 

3.17 

71.51 

2,002/^ 

26.81 

8.14 

7.46 

38.29 

1,072^«^ 

2.97 

0.08 

0.08 

4.24 

118e 

1.10 

0.07 

0.06 

1.57 

44 

10.00 

4.92 

4.51 

14.29 

400^5 

44.44 

0.40 

0.37 

63.49 

l,777i| 

10.01 

1      0.83 

0.76 

14.30 

400i§ 

56 


DRILL  EXERCISES. 


UNITED 

STATES    M( 

DNEY   (page   73) 

120 

121 

122 

123 

115 

2,450 

%  239.20 

230  ]b 

520^-^ 

14,380 

1,081.86 

l,040f 

221^% 

5,124 

473.33 

4551 

18711 

3,618 

390.65 

375f 

l,279i^ 

26,012 

2,661.75 

2,559| 

^^1% 

1,015 

119.704 

115 

35^ 

381J 

73.216 

70| 

5,475 

20,040 

11,388. 

10,950 

027t\ 

9,944 

1,304.55 

1,254| 

95 

1.2141 

197.691 

190 

8^ 

bo 

17.68 

17 

130if 

2,438 

272.35 

261i 

2A 

51 

5.226 

5 

118if 

3,201^ 

247.065 

237| 

394t^e 

9,848 

819.936 

788f 

47i§ 

1,135 

99.385 

95| 

2,620T«e 

19,912 

5,450.64 

5,241 

311 

35f 

8.125 

7| 

3,128^^ 

7,601 

6.507.41 

6,2571 

1,675t«6 

17,900-1 

3,484.78 

3,350| 

185U 

185 

386.10 

371f 

6811 

151 

143.065 

1371 

625 1^ 

10,818 

1,300.26 

1,250| 

2J77if 

8881 

5,777.72 

5,555| 

625i§ 

1,8194 

1,301.30 

1,251| 

ANSWERS. 


57 


COMMON    FRACTIONS  (page  123). 


5, 

37. 

93 

31 

9 

3,  5,  13. 

7, 

83. 

2^ 

3^ 

2, 

7,  43. 

2^ 

23. 

5-^ 

17. 

127. 

2^ 

3,  13. 

2^ 

7,  11. 

769. 

2^ 

11-^. 

3, 

947. 

2^ 

5,  17. 

647. 

2 

3,23. 

93 

3,7. 

3, 

7,23. 

3^ 

5, 

89. 

5, 

97. 

22 

3,  67. 

22 

5,31. 

2^ 

103. 

125 

2^  37. 

22,  3^ 

2\  32, 11,  13. 
2^  83. 
2r,  3^  5. 
2,  3,  5,  43. 
22,  32,  23. 
5,  7,  17. 
2,  3,  127. 
2^  7,  13. 
22,  5,  7,  11. 
2,  769. 
2^  3,  112. 
5,  947. 
2\  3,  17. 
647. 
2\  23. 

2,  3,  7,  13. 

3,  11,  23. 
22,  3^ 

2,  3,  89. 
32,  97. 
2^  5,  67. 
22,  32,  31. 
2,  7,  103. 


i20 
37 

108 

78 

83 

108 

86 

92 

^o 

127 

104 

308 

769 

968 

947 

68 

647 

46 

42 

69 

81 

89 

97 

268 

124 

206 


127 

128 

72 

5 

8 

1,080 

§ 

576 

5 
6  6" 

1,596 

-1 

84 

T^O 

96 

tV 

240 

t 

63 

f 

31,050 

1,680 

1,365 

360 

855 

1,232 

270 

770 

2oo 

31,720 

190 

132 

936 

684 

252 

5,115 

390 


f 

it» 

i 

H"- 

? 

aaa 

i 

-|- 

i 

a.a 

} 

4g7 

i 

2|1 

A 

ap 

A 


58 


DRILL  EXERCISES'. 


COMMON    FRACTIONS  (page  123). 


Examples. 


130 

iSi 

132 

iSS 

134 

i35 

136 

i37 

m 

2f 

8| 

lOlJo 

ii 

59| 

5tV 

60H 

m 

IH 

9t^^ 

T4i| 

hU 

2f 

15if 

3M 

m 

2A 

5J* 

93i 

a 

45J 

13} 

46^ 

h% 

lAV 

ini 

126A 

^ 

47i 

19A 

47/ij 

1^^ 

2|iJ 

8if 

147i| 

^H 

414 

361* 

41fl 

IHS 

2tVo 

6HJ 

142Jf 

u 

63  J^ 

27^j 

64ft 

If 

2T¥ff 

5fi 

110ft 

A 

64J 

lift 

65 

m 

1/A 

3i¥<r 

mi 

s¥^ 

41f 

19tS 

42t^', 

m   in 

3J 

154/j 

11 

203 

51H 

21| 

m  :  2,^5 

6tfl 

129tt 

tVs 

7f 

43i\ 

8J 

m 

2iU 

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157A 

3^ 

55f 

25ii 

56U 

IrA 

1A\ 

4i% 

124fS 

m 

23| 

32|J 

24^ 

1*1 

2|f 

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« 

114 

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12H 

m 

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T/ifj 

167/, 

e 

31i 

50A 

32ft 

lA 

lit 

6i^.- 

167fi 

i 

351 

48|J 

36H 

If 

n 

4 

156,^, 

* 

21i 

53,3, 

22ft 

m 

2m 

4|j 

lo6j 

u 

33| 

m 

34H 

it'^ 

ISiJ 

8i 

121A 

f§ 

20| 

32H 

21ft 

in 

let 

lOA 

leojj 

II 

56J 

29iJ 

57|| 

Vj 

111 

5||i 

125§i 

A 

21* 

4O3H 

21M 

1A% 

i««§- 

lOA 

147i| 

Av 

41f 

27A 

42tf 

lii 

ifH 

4e 

91A 

m 

38J 

141* 

39JI 

It'A 

liJSf 

9||J 

184e 

m 

20i 

54e 

21ft 

§1 

lA 

8^ 

147JJ 

1^ 

59J 

26H 

6O1V1 

lA 

liii 

SySiT 

137J 

iit 

25J 

32J 

26ft 

ANSWERS. 

0 

COMMON    PEACTIONS   (pag< 

!  123). 

Examples. 

138 

139 

140 

141 

142 

i43 

144 

i45 

1. 

^ 

i    ' 

sm 

i\ 

2U 

if 

6i 

5S 

2. 

SI* 

A 

m 

i^ 

§i 

A 

^ 

3| 

3. 

m 

fS 

2ft 

A% 

It^A 

tV 

4ft 

3ft 

4. 

a 

H 

SsVs 

n 

lA 

A 

6i 

5ft 

&. 

H 

^0 

5Jli 

i 

3|| 

ft 

13ft 

6A 

6. 

m 

M 

^t'tVct 

ii 

llll 

ft 

ri 

5ft 

7. 

k 

J 

3/o\ 

X 

3 

lii 

? 

7J 

3fl 

8. 

t'bVs 

?^ 

lA 

sV 

t¥j 

* 

5| 

1ft 

9. 

A% 

* 

l|l 

iftV 

W% 

3% 

19* 

li* 

10. 

^tV 

H 

4|f 

m 

mi 

it 

19ft 

oft 

11. 

I'o 

A 

S^'aV 

i 

41i 

t 

18i 

8|l 

12. 

Hii 

A 

m 

A 

/tV 

4 

6ft 

1ft 

13. 

h 

M 

mn 

A 

lil 

AV 

4ft 

2|* 

14. 

¥d 

A 

3A 

A 

H 

J 

8ft 

3? 

15. 

tV. 

A 

2H 

ftV 

Its 

A 

104 

3ft 

16. 

hi 

i 

Ul 

1^5 

M» 

ft 

171 

lit 

17. 

m 

H 

2t\\ 

J 

IM 

i 

15* 

2H 

18. 

m 

A 

4e 

A 

l^V 

i 

9 

5ft 

19. 

m 

A 

6|H» 

iwf 

\t\ 

A 

15ft 

7ft 

20. 

m 

4i 

1* 

m 

if? 

iV 

4| 

lif 

21. 

m 

i 

5fV\ 

ii 

Hi 

ft 

14 

5?t 

22. 

AV 

* 

2i?ft 

A 

ift^if 

if 

8 

2if 

23. 

im 

A'lT 

HUi 

^T 

Its 

ii 

20ft 

6|f 

24. 

m 

h 

m 

TTT 

^y 

i. 

10 

4ft 

23. 

If 

A 

2m 

Tf*T 

^^5 

m 

9? 

2e 

60 


DRILL  EXERCISES. 


COMMON 

PEACTIONS   (page   123). 

146 

147 

148 

149 

iso 

151 

152 

153 

113! 

94i 

n.\ 

^^ 

tV 

81 

i 

m 

362  ^ 

202t 

m 

A 

1^ 

30 

it 

mi 

110-1 

86,V 

lit 

1/5% 

A 

76f 

i 

m 

346 

2811 

lA 

5¥t 

tIs 

1424 

II 

2W 

600i 

28211 

u 

U 

t". 

98 

n 

64ti 

262* 

18211 

2A 

tVo 

A 

108J 

If 

5m 

156§- 

72ii 

u. 

tf-A 

/o 

120 

a 

3A\ 

149 

33J 

Uh 

if 

A 

144 

% 

13§i 

l,247i 

126t'5 

2i« 

A 

tI^ 

120 

^'tf 

234 

968^ 

260i| 

m 

in 

^\ 

60A 

■i¥o 

%iT 

742J 

347e 

lA 

^h 

^ 

113J 

AV 

mi 

877J 

141 

m 

A 

sV 

65A 

5% 

9m 

226J 

130^ 

1t\ 

3'A 

/^ 

68f 

e 

154«4 

908 

364|t 

m 

if% 

3^ 

1134 

AV 

mi 

9791 

296ft 

24 

^ii 

A 

154f 

-ry^ 

nti 

1,221 

122J^ 

3 

^ 

sV 

1284 

A 

25A 

872| 

165H 

m 

fi> 

xh 

974 

i¥s 

15§4 

5231 

29oi 

2A 

'Ns 

tItt 

874 

If 

m 

725J 

3283V 

4f 

A's 

!!§¥ 

133 

ft 

mi 

490J 

1911 

M 

t'A 

A 

1154 

f* 

wfh 

870f 

332H 

3^ 

t1^ 

2^5 

85t 

A% 

mi 

220* 

684i 

2*1 

B^ 

T^ 

108t', 

il- 

m 

1,780 

565g\ 

5A 

xfiT 

W 

1064a 

ls 

^tV^ 

496J 

225i 

3A 

A 

A 

3024 

H 

4-111 

1,0314 

282^ 

4A 

^v 

5#¥ 

85A 

iVr 

5|i 

ANSWERS. 


COMMON    FRACTIONS  (page  12; 


Examples. 
1 


154 

155 

ItV 

^o\ 

m 

ft'n 

lA 

rfV 

iff 

ifVt°t 

1ft 

U 

Uij 

m 

ItVt 

ill! 

m 

Its 

^h 

hh 

mi 

120  9 
-•-2  9  0 

m 

laTu 

-^405 

6 

11  7i 
-^30  1 

ItV 

1  .5  0 
^2T 

211 


tV^ 


T62 
18  2  2  5 

^\ 


m 


156 

m 

92  9 
^98 

^86 

2fJ 

4.23 
^4  0 

m 

2t^t^ 
28H 


5th 

m 

5 

2fM 

611 

m 


^^t\ 


157 

IsYo 

#^4 
243 
T^ 

24B^ 

7^8 

14  9 
-•-96 

_J_9_0_ 
1029 

•200 

m 


u 


I260 

m 

u 

2x^ 


158 

l2¥o 


4  2  0 


113 
-•-34 


m 


2a9 

336 


1x^2 

19% 


_2_7  8 
3  15 


-^504 

1_9J_ 
-^9  10 

lltl 

19^2 

1_7_1_9_ 

-■■200  2 


A33 
462 


12%% 
59f| 

159H 
152f 

103A 

1061 

13oj\ 

201M 

256f 

62ft 
312|f 
135i 
224| 


4tff-0-|4 


2  9  5^^0% 


4_98__5_ 
^2303 

JL7_2_5_ 

4  1884 

Mm 

9_6  8 
4  62  5 


t¥AW5 

imm 


35423 

3MM1 

12  0  5  10  0 
2382FFT 

2MIM 

2¥8¥t 

3lMlfe 


62 


DRILL  EXERCISES. 


COMMON   FRACTIONS   (page   123). 


Examples. 

161 

162 

iss 

264  ! 

165 

166  I 

i07 

1. 

m 

Vl% 

lOfft 

m 

m 

If 

4ii 

2. 

mi 

7i 

161 

l^,y 

17f 

ItVk 

5| 

3. 

23-^^ 

20^ 

7 

m 

14«| 

3^ 

1 

U 

4. 

3oi|| 

14A 

22fi 

i% 

22J 

2?l 

m 

5. 

5311 

13t't 

9iii 

m 

29t^^^ 

3ft 

5ti 

6. 

m 

19tVV 

WA-'o 

If* 

25J 

4ft 

2| 

7. 

ism 

22A% 

8^ft 

lit 

7f 

m- 

2ft 

8. 

46ft 

48J 

7J 

m 

15JI 

3ft 

U 

9. 

203iV 

38f 

14 

fi 

35tV 

2il      ft 

10. 

59iSJ 

lOifl 

7A 

im 

29^ 

2t% 

m 

11. 

43i8J 

lOfl 

15iV. 

lit 

17 

mi 

m 

12. 

73i 

575V 

8ff 

ItJ^ 

30,V 

1H2 

IH- 

13. 

<5'¥i 

24iS 

4/A^o 

1* 

41M 

9ft 

i-i 

14. 

7011 

25J 

102 

Hi 

48^ 

3iJ      3s 

15. 

1224 

2941 

21 

1 

44U 

3ft     2ft»i 

16. 

222 

433 

14| 

% 

37ft 

m 

21 

17. 

79|3 

29iiJ 

5|f 

m 

36| 

3Jr 

lA 

18. 

97t% 

12,^ 

25A 

n 

311 

3^^ 

2i« 

19. 

187A 

13J|^ 

59#ft 

\\ 

22t* 

2Th 

se 

20. 

59A 

34i9 

10 

if 

39?| 

4ft 

3ft 

21. 

!     70| 

14511 

19Hi 

Ir'ft 

22^ 

1§5 

m 

22. 

65i| 

23^5 

25^^ 

IH 

lOf 

1ft 

2ft 

23. 

1  3004^ 

12}M 

53tW. 

iii 

43if 

2/ft 

2f 

24. 

265 

20|f 

176f 

T«f 

23i 

I2A 

■sj 

25. 

77ii 

25JI 

184 

IM 

30A 

Ifi 

'4ft 

ANSWERS. 


63 


COMMON   FRACTIONS  (page  123). 


Examples. 

1. 


168 

n 

3A 


731 
'  39 


12 


TT 


321 

15f 
19i§ 
13H 
16|f 
135 
26y 

1311 


169 

38^ 

34i-^ 
49H 

45x^3 
51 

48 

43i| 

46A 

292V 

50| 

31.^3 

31A 
49i 

56if 

48i 

451 

35if 

55A 

42 


170    171 

21|  341 

131  j29i 
21A  37f 


131 

28 

29^ 

90 

731 


42 

43^ 

38 

29f 

43| 

34f 

49 


27i|  38f 
12f 
28 
24 


25f 
44t 
46| 


271  144 
39|- 

22t 
161 


40f  34f 


441 
321 

49f 
33 


172 
I  67.50 

126.00 
28.00 

117.00 
92.40 
44.57 
46.25 
10.89 
53.67 

107.50 

206.50 
92.59 
14.38 


173 

n 
If 

23«y 

4i 

9f 

3ii 

6f 
HI 


102.86  2|f 


98.00 
48.40 
54.78 
95.33 
163.40 
47.14 


45^  220.00 


37Mjl4i-g30  :  44.59 

472^1  33Jt[  501  !  248.89 

71t^,Ii6j^  461  102.00  2^\ 

36|f|31|  '41f  ;  184.891  3§i 


3i| 
10 

117 

2  2 

2H 
2ff 
3f\ 
3#o 


174 

175  1 

19.26 

4A 

9.53 

5A 

5.48 

2f 

16.47 

5ii 

7.39 

4tV3 

13.37 

3§i 

5.76 

3,V\ 

2.57 

Ift 

7.87 

2/j 

3.87 

4A«j 

12.53 

6HI 

16.97 

3|i 

2.^^ 

m 

13.20 

im 

19.60 

45VT 

8.47 

2 

4.79 

2ilS 

15.66 

m 

49.02 

5m 

8.49 

3t«7 

23.83 

6HS 

11.29 

2*1 

48.53 

6|| 

75.89 

4^% 

25.42 

5AV 

i70 

45 

19A 
21 

52 

12M 
18A 

m 

2 


03  7 


ISff 

4|f 

6if 

lOM 

21 
3iii 
16H 

15|i 
14it 

12« 

m 


64 


DRILL  EXERCISES. 


DECIMAL   PIIACTI03S1S   (page   135). 


Examples. 
1. 

2. 
3. 
4. 


7. 
8. 
9. 
10. 
11. 
12. 
13. 
U. 
15. 
16. 
17. 
18. 
19, 
20. 
21. 
22. 
23. 
24. 
25. 


179 

25.002 

0.0206 

700.8 

0.00404 

50.5050 

8.96 
5,002.05 
0.00016 
0.000112 
2.25 
701.6 
2.206 
0.0936 
54.054 
806.001047 
500.26 
0.001000  . 
0.000029 
8.46291 
0.511 
4,271.0004271 
68,000.4^ 
0.122 
8.04f 
500.01 


180 


181 


^0 

A_0_0  0 

1 

ija 

m 

m 

^/o 

Uh 

?0<5 

H-" 

200 

T2V0 

i^a 

Wo^- 

i 

8  0^0  0 

xiF 

-¥- 

If 

iB 

^l 

*ih'- 

w 

^i,\ 

w- 

m 

aooi 

LP_l. 


23-0 


8621 
1000 


500^0 


2M 0  I 

2_0  7  63! 
1  0000 

3  6  5_3 
'2  0  0 


_1  0  1  _ 

lO'OOO 


3  S  3  9 
T250 

40  03  i 
50   I 


hm 


50V0 
10  7 


0x1 
000 


182 

0.056 

0.5937... 

0.0556 

0.0015 

0.575 

0.0025 

0.1481.. 

0.8125 

0.2312.. 

0.0703.. 

0.064 

1.0625 

0.3809.. 

0.9166  . 

O.booo.. 

0.4666.. 

0.0378.. 

8.2272. 

0.6785. 

0.0769. 

0.1904. 

0.2941. 

0.2857. 

2.9473. 

0.0875 


183 

25.027 


25.7706 
701.1504 
1.01404 
300.505 
8.9608 
5,018.055 
8,000.00016 
5.600112 
2.958 
720.964 
2.2576 
1.8256 
8,070.054 
810.951047 
500.272 
12.008 
45.900029 
17.08391 
0.51662 
5,273.0004271 
68,002.325 
0.244 
9.057a 
508.401 


ANSWERS. 

t)S 

f 
DECIMAL    FRACTIONS  (page  135) 

184 

185 

186 

5,025.002 

5,025.027 

24:.977 

1.6686 

27.4186 

25.7294 

701.457 

701.8074 

700.4496 

(T.00654 

1.01654 

1.00596 

50.51 

300.51 

199.495 

456.96 

456.9608 

8.9592 

5,004.55 

5,020.555 

4986.045 

0.00816 

8,000.00816 

7999.99984 

1.680112 

7.280112 

5.599888 

609.25 

609.958 

1.542 

719.68 

739.044 

682.236 

11.366 

11.4176 

2.1544 

800.1936 

801.9256 

1.6384 

54.0592 

8,070.0592 

7,961.946 

808.077347 

813.027347... 

801.051047 

518.525 

518.537 

500.248 

0.0111 

12.0181 

12.006 

3.071229 

48.971229 

45.899971 

88.52291 

97.14391 

0.15809 

5.911 

5.91662 

0.50538 

4,271.6809271 

5,273.6809271 

3,269.0004271 

68,004.521 

68,006.396 

67,998.575 

24.522 

24.644 

0. 

8.0430f 

9.0580^ 

7.027f 

501.137§ 

509.472^ 

491.731 

66 


DRILL  EXERCISES. 


DECIMAL 

FRACTIONS  (page  135). 

Examples. 
1. 

187 

4,999.975 

188 

4,974.998 

189 

0.62505 

2. 

24.102 

1.6274 

0.53045 

3. 

0.3066 

700.143 

245.56032 

4. 

1.0075 

0.00154 

0.0040804 

5. 

249.995 

50.5 

12,626.25 

6, 

447.9992 

439.04 

0.007168 

7. 

13.505 

4,999.55 

80,057.81025 

8. 

7,999.992 

0.00784 

1.28 

9. 

3.92 

1.679888 

0.0006272 

10. 

606.292 

604.75 

1.593 

11. 

1.284 

683.52 

13,585.7824 

12. 

9.1084 

6.954 

0.1138296 

13. 

798.368 

800.0064 

0.1621152 

14, 

8,015.9948 

54.0488 

433,296.864 

15. 

2.8737 

803.924747 

3,989.70518265 

IS. 

18.253 

481.995 

6.00312 

17, 

11.9969 

0.0091 

0.012007 

18. 

42.8288 

3.071171 

0.0013311 

ID. 

71.439 

71.59709 

72.95874711 

20. 

5.39438 

4.889 

0.00287182 

21. 

1,001.3195 

4,270.3199271 

4,279,542.4279542 

22. 

2.196 

67,996.379 

127,500.84375 

23. 

24.278 

24.278 

0.014884 

24. 

1.0148 

8.0426f 

8.1635 

25. 

7.263f 

498.9951 

4,167.777|f 

DECIMAL   FRACTIONS   (page  135). 

190 

191 

192 

125 

125,010 

0.000999... 

42.436 

0.0339488 

1,250 

0.2302128 

460.4256 

0.0005 

0.002525 

0.0000101 

250 

1.25 

0.252525 

4.950004... 

0.3584 

4,014.08 

0.000089... 

40.0125 

12,505.125 

0.003199... 

64 

0.00000128 

50,000,000 

9.408 

0.00018816 

50,000 

429.756 

1,365.75 

0.314666... 

350.10112 

12,684.928 

0.027599... 

0.472656 

20.20696 

0.023390... 

1,385.7732 

74.88936 

18.504273... 

41.6832 

0.2810808 

148.296148... 

10.277685 

'  1,673.4999738861 

0.006141... 

0.219180 

9,137.2489 

0.000023... 

0.1212707 

0.0000101 

12,007 

140.96808 

0.0000890648 

1,582,758.620689 

690.19726 

677.5405746 

1.018680... 

0.030348 

2.7594 

0.010998... 

681.861 

2,906.41579064155 

0.234605... 

7.633125 

'      276,829.83195 

0.000027... 

2.9768 

2.9768 

1 

0.000203 

0.001608i 

0.126198... 

8.92619 

535.5714 

0.016666... 

67 


68 


DRILL  EXERCISES. 


Examples. 
1. 

2. 

3. 

4. 

5. 

6. 

7. 

8. 

9. 
10, 
11, 
12. 
13, 
14. 
15. 
16. 
17, 
18. 
19. 
20. 
21. 
22. 
23. 
24. 
25. 


DECIMAL 

193 

200,000 

0.064 

1.875 

0.002475... 

0.00002 

560,000 

0.156201... 

0.000001 

0.3 

857.344632... 

0.933691... 

177.519379... 

461.951501... 

0.0000006... 

0.419454... 

1,522.083333... 

0.000841... 

0.066910... 

9.286625... 

960.854092... 

0,000679... 

2.1712 

200 

0.000197... 

0.128502... 


FRACTIONS  (page 

135). 

194 

195 

199.984... 

5,000.50002 

80 

259.148206 

0.000937... 

11.169 

0.618811... 

10.1025404 

0.000099... 

2,500.51005 

50 

448.0976 

0.000499... 

212.5705 

50 

80,000.0080016 

15,000 

57.68000112 

269.777777... 

614.1025 

0.025769... 

218.736 

4.152311... 

9.69806 

8,548.076923... 

817.420936 

0.000096... 

80,160.54574 

0.002576... 

59.63631047 

0.036511... 

23.3876 

10.1 

120.08011 

105,903.448275... 

462.07120029 

9.460102... 

166.3546291 

10.567514... 

5.46131 

0.000159... 

10,063.390504271 

0.000059... 

702.8255 

200 

25.62122 

0.000002... 

10.2304f 

0.002141... 

89.4165... 

ANSWERS. 

by 

COMPOUND 

NUMBERS   (page 

171). 

196 

197 

198 

10,000  lb. 

120  oz. 

86,854  oz. 

11,200  lb. 

543  lb. 

2,079  lb. 

1,200  pwt. 

234  pwt. 

870  pwt. 

26,400  ft. 

16  ft. 

572  ft. 

512,000  sq.  rd. 

641  sq.  yd. 

7,689  sq.  rd. 

233,280  cii.  in. 

24,521  cu.  in. 

307,362  cu.  in. 

640  cu.  ft. 

302  cu.  ft. 

11,884  cu.  ft. 

160  gi. 

7pt. 

37  pt. 

320  pt. 

79  pt. 

170  qt. 

108,000' 

5,894'' 

1,008,148" 

43,800  hours. 

8,355  hours. 

17,706  hours. 

2,635,200  min. 

1,270  min. 

11,285  min. 

990  in. 

33  in. 

3,110  in. 

24,200  sq.  yd. 

11,774  sq.  in. 

735,345  sq.  in. 

80  pt. 

7gi. 

54  gi. 

18,000" 

4,138" 

67,014" 

2,400  gr. 

551  gi. 

5,732  gi. 

180  in. 

27  in. 

196  in. 

1,3611  sq.  ft. 

89  sq.  ft. 

53,001  sq.  in. 

40  gi. 

7gi. 

22  gi. 

50,400  min. 

1,421  min. 

642  hours. 

6,480  sq.  in. 

3,916  sq.  in. 

5,652  sq.  in. 

432,000  sec. 

2,898  sec. 

244,542  min. 

720  sq.  in. 

25,740  sq.  in. 

146,998  sq.  in 

720  units. 

250 

1,197 

70 


DRILL  EXEIWISES. 


COMPOUND 

NUMBERS  (page  171). 

199 

200 

nu  T. 

6Q>  T.  687  lb. 

Iff ^  T. 

59  T.  4  cwt.  2  qr.  23  lb. 

1341  lb. 

552  lb.  10  oz.  7  pwt.  '    . 

mo  m. 

25  m.  41  rd.  3  yd.  l^ft. 

^IfUsq.m. 

1  sq.  m.  189  A.  47  sq.  rd. 

t! -Ik  c^^-  y<i- 

2  cu.  yd.  22  cii.  ft.  1,359  cu.  in. 

25f  ^  cd. 

1,036  cd.  4  cd.  ft.  15  cu.  ft. 

102|  gal. 

4,146  gal.  1  qt.  1  pt.  3  gi. 

51tV  bu. 

2,073  bu.  7  qt.  1  pt. 

5W0  circ. 

6  circ.  51°  27'. 

2\Vo  c.  y. 

15  y.  53  d.  15  h. 

tAV^o  1.  y. 

92  d.  3  h.  27  min. 

165  8  rd. 

2  m.  30  rd.  2  ft.  3  in. 

t¥^  a. 

27  A.  66  sq.  rd.  lO^sq.  yd. 

2051  pk. 

2,073  bu.  7  qt.  1  pt. 

f§r 

36°  51'  27''. 

6iM  oz. 

23  lb.  0  oz.  8  pwt.  15  gr. 

91|  yd. 

2  m.  30  rd.  2  ft.  3  in. 

12Tf|^sq.rd. 

3  A.  7  sq.  rd.  11  sq.  yd.  2i  sq.  ft 

4101  qt. 

4,146  gal.  1  qt.  1  pt.  3  gi. 

AVo  week. 

13  w.  1  d.  3  h.  27  min. 

21-11  sq.  yd. 

3sq.  rd.  11  sq.  yd.  5  sq.  ft.  99  sq.  in 

2f Ik  d. 

1  d.  12  h.  51  m.  27  s. 

22§|  sq.  ft. 

3sq.rd.  llsq.yd.  5  sq.ft.  99 sq.  in 

22§f  gross. 

76  gr.  gr.  9  gr.  5  doz.  3. 

ANSIVERS. 

7i 

COMPOUND 

NUMBERS  (page  171). 

201 

202 

203 

1,454  j^T  1^- 

925.4  lb. 

\im  T. 

1,629tL  lb. 

1,036.448  lb. 

f^  cwt. 

174j\  pwt. 

111.048  pwt. 

fib. 

3,840  ft. 

2,443.056  ft. 

frd. 

74,472 1\  sq.  rd. 

47,380.48  sq.  rd. 

tIo  A. 

33,931i\  cii.  in. 

21,587.7312  cu.  in. 

iiil  cu.  yd. 

93iL-  cii.  ft. 

59.2256  cii.  ft. 

§^cd. 

23T\gi- 

14.8064  gi. 

f  gal. 

46^^^  Pt. 

29.6128  pt. 

A  bu. 

15,709t\' 

9,994.32' 

#V/ 

6,370{^  hours. 

4,053.252  hours. 

tHo  c.  y. 

383,301 1\  mill. 

243,861.408  min. 

Hid. 

144  ill. 

91.6146  in. 

Mrd. 

3,520  sq.  rd. 

2,239.468  sq.  yd. 

mi  sq.  rd. 

11t\  pt. 

7.4032  pt. 

f  qt. 

2,618tV' 

1,665.72'' 

yr 

349Jt  gr. 

222.096  gr. 

m  oz. 

26 1\  in. 

16.6572  in. 

t  yd. 

198  sq.  ft. 

125.9700-1  sq.  ft. 

ill  sq.  yd. 

5t\  gi- 

3.7016  gi. 

fqt. 

7,3301^  mill. 

4,664.016  min. 

If  w. 

942i\  sq.  in. 

599.6592  sq.  in. 

M  sq-  yd. 

62,836t*t  sec. 

39,977.28  sec. 

*l^  d. 

104^\  sq.  in. 

m.Q>2S^  sq.  in. 

-HtM  sq.  rd 

104^. 

66.6288 

t'tt  gross. 

72 


DRILL   EXERCISES. 


COMPOUND    NUMBERS   (page  171). 


204 

0.3128...  T. 

0.6375 1.  T. 

0.6875  lb. 

0.6272.. 

m. 

0.8750.. 

sq.  m. 

0.1674.. 

cu.  yd. 

0.3593.. 

cd. 

0.75  gal 

0.7812.. 

bu. 

0.2518.. 

.  circ. 

0.0123.. 

.  c.  y. 

0.1796.. 

.l.y. 

0.9698.. 

.  m. 

0.1827.. 

A. 

0.3125  p 

k. 

0.8625°. 

0.8416.. 

lb. 

0.1292.. 

m. 

0.9733.. 

sq.  rd. 

0.25  qt. 

0.5  wk. 

0.0092.. 

sq.  yd. 

0.5479.. 

d. 

0.0169.. 

sq.  rd. 

0.5972.. 

gro. 

205 


129 
FT95  200 

m 
m 

^48000 


5if^4 


^t^W^-lT 


I4VV 


178| 
Iff 


[yd- 


206 

7  T.  61  lb.  10  oz. 

6  1.  T.  16  cwt.  18  lb. 

14  lb.  3  oz.  9  pwt. 

10  m.  236  rd.  2  yd. 

1  sq.  m.  608  A.  15  sq.  rd.  4  sq. 

15  cu.  yd.  7  cu.  ft.  1007  cu.  in. 

195  cd.  4  cd.  ft.  8  cu.  ft. 

31  gal.  1  qt. 

16  bu.  1  pk.  2  qt.  1  pt. 

2  circ.  12°  20'  42''. 

5  y.  360  d.  9  li. 

1 1.  y.  74  d.  11  h.  15  m. 

7  m.  6  rd.  1  yd.  11  in. 

5  A.  48  sq.  rd.  9  sq.  yd.  83  sq.  in. 

8  pk.  2  qt.  1  gi. 
74°  37'  37". 

6  lb.  11  oz.  3  pwt.  19  gr. 

3  m.  42  rd.  2  yd.  2  ft.  1  in. 

7  sq.  rd.  19  sq.  yd.  6  sq.  ft.  81  sq. 

1  gal.  2  qt.  1  pt.  3  gi.  '-^"' 

32  w.  3  d.  5  h.  41  m. 

28  sq.  yd.  3  sq.  ft.  76  sq.  in. 

1  y.  89  d.  9  h.  39  m.  18  s. 

15  sq.  rd.  115  sq.  ft.  28  sq.  in. 

1  gr.  gr.  10  gr.  7  doz.  9. 


ANSWERS. 


73 


COMPOUND    NUMBEKS  (page  171). 


Examples. 
1. 


207 

3  T.  285  lb.  8f  oz. 

1 1.  T.  7  cwt.  15  lb. 

4  lb.  12f  pwt. 
171  rd.  4  yd.  1^:^  ft. 

322  A.  544  rd. 


208 


1164  lb.  4i  oz. 

16  cwt.  1  qr.  18.616  lb. 

1  lb.  6  oz.  12.816  pwt. 

186  rd.  0.952  ft. 

370  A.  30  sq.  rd.  8.84  sq.  yd. 

7  cu.  yd.  765f  cu.  in.  1  cu.  yd.  2  cu.  ft.  1,394.8304  cu.  in. 

93  cd.  2  cd.  ft.  2f  cu.  ft.:   2  cd.  7  cd.  ft.  8.0352  cu.  ft. 

1  gal.  1  qt.  1  pt.  2.5088  gi. 

\      1  bu.  3  pk.  2  qt.  0.0176  pt. 

209°  51'  40.4''. 

1  y.  194  d.  5.784  h. 

212  d.  13  h.  49.936  m. 

4  yd.  3.5232  in. 

92  sq.  rd.  25  sq.  yd.4  sq.  ft.  124!976 

5  qt.  1  pt.  0.0176  gi. 


5  gal.  15  gi. 
5  bu.  2  pk.  7f  qt. 

1  circ.  74°  19'  36f". 

2  c.  y.  164  d.  4f  li. 
164  d.  16  h.  39f  m. 

16  rd.  2  ft.  2f  in. 

[sq.  in. 

87  sq.  rd.  89  sq.  ft.  55f 


1  pk.  2  qt.  If  gi. 

19°  2'  36f". 

1  lb.  7  pwt.  9^  gr. 

5  yd.  2  ft.  7f  in. 

Tin. 
1  sq.  rd.  23  sq.  yd.  5  sq.  ft.  705.  sq. 

3qt.  Ifgi. 
4  w.  1  d.  18  h. 

[in. 

4  sq.  yd.  7  sq.  ft.  15f  sq. 

170  d.  5  h.  59|  m. 

3  sq.  rd.  204  sq.  ft.'n'i 

8  gr.  8  doz.  lOf . 


1°  43'  40.24". 
1  oz.  14  pwt.  12.632  gr. 

1  yd.  11.8224  in. 

27  sq.  yd.  3.4694  sq.  ft. 

1  qt.  3.6272  gi. 

5  d.  51.272  m. 

3  sq.  yd.  5  sq.  ft.  57.6064  sq.  in. 

14  li.  41  m.  11.76  s. 

179  sq.  ft.  47.2896  sq.  in. 

2  gr.  3  doz.  9.2896. 


74 


DRILL  EXERCISES. 


COMPOUND    NUMBERS   (page   171). 


Ex. 
1. 

2. 

3. 

4. 

5. 

6. 

7, 

8. 

9. 
10. 
11. 
12. 
13. 
14. 
15. 
16. 
17. 
18. 
19. 
20, 
21. 
22. 
23. 

24. 

25. 


209 

2  T.  1420  lb.  14  oz. 

13  cwt.  2  qr.  24  lb. 

2  lb.  7  oz.  16  pwt. 

33  rd.  3  yd.  2  ft.  6  in. 

■iS  A.  6  sq.  rd.  26  sq.  yd.  2  sq.  ft.  36  sq.  in. 

6  cu.  yd.  1  cii.  ft.  1,177  cu.  in. 

90  cd.  3  cd.  ft.  14  cu.  ft. 

3  gal.  3  qt. 

4  bii.  2  qt.  1  pt. 

278'  24'  14''. 

1  y.  24  d.  15  h. 

6  d.  22  h.  m  m. 

15  rd.  8  ft.  11  in. 

IS  sq.  id.  13  sq.  yd.  7  sq.  ft.  43  sq.  in. 

5  qt.  1  pt.  3  gi. 

IT  27'  56". 

10  oz.  15  pwt.  21  gr. 

4  yd.  2  ft.  1  in. 

31  sq.  yd.  9  sq.  in. 

1  qt.  1  pt.  3  gi. 

3  w.  4  d.  18  h.  19  m. 

1  sq.  yd.  3  sq.  ft.  8  sq.  in. 

169  d.  18  h.  53  m.  42  s. 

3  sq.  rd.  25  sq.  ft.  46  sq.  in. 

6  gr.  6  doz.  11. 


210 
1  T.  1,197  lb.  6  oz. 

4 1.  T.  14  cwt.  21  lb. 

6  lb.  15  pwt. 

10  m.  166  rd.  1  ft. 

1  sq.  m.  511  A.  155  sq.  rd. 

1  cu.  yd.  15  cu.  ft.  1,122  cu.  in. 

7  cd.  4  cd.  ft.  2  cu.  ft. 

21  gal.  1  pt. 

4  bu.  1  pk.  7  qt. 

170'  37'  32". 

361  d.  18  h. 

1 1.  y.  57  d.  21  h.  bo  m. 

6  m.  294  rd.  3  yd.  1  ft.  10  in. 

[in. 

5  A.  10  sq.  rd.  132  sq.  ft.  27  sq. 

6  pk.  3  qt.  1  pt.  2  gi. 

36°  14'  51". 

4  lb.  10  oz.  3  pwt.  4  gr. 

3  m.  40  rd.  2  yd.  2  in. 

[sq  in. 

4  sq.  rd.  18  sq.  yd.  7  sq.  ft.  27 

Ipt. 

24  w.  4  d.  18  h. 

16  sq.  yd.  5  sq.  ft.  120  sq.  in. 

114  d.  17  h.  27  m. 

7  sq.  rd.  72  sq.  ft.  116  sq.  in. 

4  gr.  3  doz.  5. 


ANSWERS. 

COMPOUND    NUMBERS    (page  171). 

Ixamples. 

211 

1. 

25  T.  1,754  lb.  8  oz. 

2. 

33 1.  T.  16  cwt.  2  qr. 

3. 

^d,  lb.  1  oz.  10  pwt. 

4. 

63  m.  244  rd.  2  yd. 

5. 

11  sq.  m.  160  A.  24  sq.  rd. 

6. 

49  cii.  yd.  216  cu.  in. 

7. 

602  cd.  1  cd.  ft.  4  cu.  ft. 

8. 

154  gal.  2  qt. 

9. 

58  bu.  2  pk.  6  qt. 

10. 

7  circ.  184°. 

11. 

18  c.  y.  27  d. 

12. 

•       7  1.  y.  28  d.  12  h. 

13. 

41  m.  262  rd.  1  yd. 

14. 

31  A.  15  sq.  rd.  123  sq.  ft.  108  sq.  in. 

15. 

43  pk.  7  qt. 

16. 

329°  10'  30''. 

17. 

35  lb.  12  pwt. 

18. 

18  m.  248  rd.  1  yd. 

19. 

35  sq.  rd.  25  sq.  yd.  3  sq.  ft.  108  sq.  in 

20. 

4  gal.  3  qt.  1  pt. 

21. 

171  w. 

22. 

4  sq.  rd.  5  sq.  yd.  72  sq.  in. 

23. 

4y.  247d.  61i.  54  m. 

24. 

m  sq.  rd.  3  sq.  yd.  108  sq.  in. 

25. 

6  gr.  gr.  3  gr.  7  doz. 

75 


76 


DRILL  EXERCISES. 


COMPOUND   NUMBERS   (page   171). 

213 

8621b.  9^  oz. 

11  cwt.  1  qr.  2  lb.  12|  oz. 

11  oz.  12  pwt.  12  gr. 

1  m.  20  rd.  1  ft.  2f  in. 

120  A.  12  sq.  yd.  129|  sq.  in. 

22  cu.  ft.  90  cu.  in. 

10  cd.  4f  cu.  ft. 

2  gal.  2  qt.  2|  gi. 

3  pk.  7  qt.  2f  gi. 
45°  4'. 

109  d.  22  h.  48  m. 

■  43  d.  4  h.  12  m. 

223  rd.  71  in. 

82  sq.  rd.  251  sq.  ft.  90  sq.  in. 

5  qt.  1  pt.  2|  gi. 

5°  29'  101". 

7  oz.  4f  gr. 

100  rd.  2  ft.  3  in. 

18  sq.  yd.  90  sq.  in. 

2|gi. 

2  w.  5  d.  22  h.  48  m. 

2  sq.  yd.  130*  sq.  in. 

28  d.  10  h.  54  m.  54  s. 

1  sq.  rd.  3  sq.  yd.  99  sq.  in. 

1  gr.  3  doz.  If. 


Examples. 
1. 

212 

112  lb.  8  oz. 

2. 

31.T.  12cwt.  2qr.  251b. 

3. 

141b.  7oz.  10  pwt. 

4, 

14  rd.  3  yd. 

5. 

31  sq.  rd.  29  sq.  yd.  6  sq.  ft.  lOS  sq.  in 

6. 

7  cu.  yd.  -23  cu.  ft.  1,479  cu.  in. 

7. 

35  cd.  3  cd.  ft.  2  cu.  ft. 

8, 

13  gal.  1  pt. 

9. 

18  bu.  2  pk.  1  pt. 

10, 

24°  33'  30". 

11. 

14  y.  Ill  d.  21  h. 

12. 

13  d.  5  h.  30  m. 

13, 

2  rd.  2  yd.  2  ft.  3  in. 

11, 

4  sq.  rd.  15  sq.  yd.  2  sq.  ft.  66  sq.  in. 

15. 

1  pk.  5  qt.  1  gi. 

16. 

17°  14'  30". 

17. 

1  lb.  5  oz.  4  pwt.  9  gr. 

18. 

2  rd.  9  in. 

19. 

4  sq.  rd,  27  sq.  yd.  3  sq.  ft. 

20. 

3  gal.  1  qt.  1  gi. 

21, 

14  d.  19  h.  15  m. 

22, 

1  sq.  rd.  15  sq.  yd.  96  sq.  in. 

23. 

12  h.  4  m.  30  s. 

24. 

9  sq.  rd.  25  sq.  yd.  6  sq.  ft 

25. 

2  gr.  gr.  2  gr.  6. 

ANSWERS. 

/ 

COMPOUND   NUMBERS   (page  171). 

Examples. 
1. 

214 

775  lb.  7f  oz. 

215 

21,7131 

2. 

2  cwt.  2  qr.  17  lb. 

519f 

3. 

6  oz.  4  pwt.  6f  gr. 

2171 

4. 
5. 

4  rd.  5  yd.  84  in. 
6  A.  138  sq.  rd.  12  sq.  yd.  8  sq.  ft  97^ 

143 
1,9221 

6. 

25  cu.  ft.  708f  cii.  in. 

76,8401 

7. 

13  cd.  2  cd.  ft.  la  cu.  ft. 

2,971 

8. 

2  qt.  1  pt.  11-  gi. 

n 

9. 

3  pk.  2f  gi. 

m 

10. 

40=  211''. 

252,037 

11. 

105  d.  9h.  25  m  42f- s. 

4,4261 

12. 

1  d.  2  h.  52  m.  ^  s. 

2,8211 

13. 

2  rd.  4  ft.  f  in. 

777|- 

14. 

2  sq.  rd.  185  sq.  ft.  If  sq.  in. 

183,8361 

15. 

1  pt.  3f  gi. 

131 

16. 

2^  39'  33f '. 

16,753^ 

17. 

1  oz.  14  pwt.  2f  gr. 

1,433 

18. 

2  ft.  4  in. 

49 

19. 

5  sq.  yd.  7  sq.  ft.  83f  sq.  in. 

13,2501 

20. 

3}gi. 

51 

21. 

3  d.  19  h.  42  m.  51f  s. 

160^ 

22. 

5  sq.  ft.  87f  sq.  in. 

1,413 

23. 

24  d.  6  h.  14  m.  34f  s. 

61,1351 

24. 

145  sq.  ft.  119^  sq.  in. 

36,7491 

25. 

1  gr.  2  doz.  3. 

2991 

77 


78 


DRILL  EXERCISES. 


PEKCENTAGE  (page   253). 


The  follow 
hat  pupils  6 
Examples. 

1. 

ing  answers  in  perce 
[lould  be  required  to 

213 
1  32.004 

itage  arc  either  exact 
give  answers  only  to  t 

217 
$  2.1336 

or  carried  out  to  mi 
lie  nearest  cent. 

218 

%  0.8696 

is,  but  it  is  suggested 

219 
8  12,801.60 

2, 

24.432 

2.2905 

2.46221 

3,817.50 

3. 

2.71524 

0.362031 

0.580821 

3,016.9331 

4. 

14.1076 

4.70251- 

2.104 

35,269.00 

5. 

280.00 

10.00 

7.25 

57,142.8571 

6. 

9.6032 

1.2004 

2.268 

6,002.00 

7, 

0.99374 

0.05420f 

1.7492t 

82.127t\ 

8o 

0.805 

0.70431 

0.13134f 

8,050.00 

9. 

305.00 

25.411 

46.605 

30,500.00 

10, 

50.4072 

1.1201f 

0.56074 

6,223.1111 

11, 

18.024 

0.18771 

3.72841 

1,251.666§ 

12, 

162.00 

43.20 

6.6728 

180,000.00 

13. 

13.808 

4.60261 

7.7370 1 

34.520.00 

14. 

5.4675 

0.30371 

0.55784 

675.00 

15, 

42.503 

6.37541 

1.474411 

17,001.20 

16o 

0.71588 

0.013011 

1.316 

59.163/t 

n, 

70.001 

2.33331 

1.12631 

7,000.10 

18. 

0.382 

0.1528 

0.05538f 

3,820.00 

19. 

23.6016 

2.36016 

4.6288 

14,751.00 

20. 

0.944 

0.0118 

0.467289 

147.50 

21, 

56.6342 

4.0453 

25.5375 

11,558.00 

22. 

78.4908 

0.327045 

9.1339 

5,450.75 

23, 

5,000.00 

6.00 

250.30 

20,000.00 

24. 

3,600.00 

2.88 

1,641.312 

3,600.00 

25. 

63.609 

2.726 

4.699 

12,981.42f 

ANSWERS. 

79 

PERCENTAGE   (page 

253). 

samples. 

220 

221 

222 

223 

224 

1. 

%  192,024.00 

2.5%  + 

$  29.8704 

$  30.48 

8  609.60 

2. 

40,720.00 

9.2  + 

22.1415 

22.623 

282.777 

3. 

22,627.00 

18.8  + 

2.353201 

2.637 

87.871 

4, 

105,807.00 

11.1  + 

9.40501 

13.831 

691.549 

5. 

1,600,000.00 

2.5 

270.00 

261.683 

3,738.317 

6. 

48,016.00 

20.9  + 

8.4028 

9.234 

230.846 

7. 

1,505.66| 

166.9  + 

0.939533- 

0.896 

8.138 

8. 

9,200.00 

8.7  + 

0.10061 

0.798 

79.702 

9. 

366,000.00 

14.1  + 

279.58^ 

277.273 

2,772.727 

10, 

280,040.00 

1.0- 

49.2870f 

46.246 

513.834 

11, 

120,160.00 

20.4  + 

17.83621 

16.093 

134.107 

12, 

675,000.00 

3.2  + 

118.80 

157.282 

5,242.718 

13. 

103,560.00 

42.0  + 

9.20531- 

13.538 

676.862 

14. 

12,150.00 

9.6  + 

5.16371 

5.017 

55.733 

15. 

113,341.331 

3.0  + 

36.1275^ 

40.48 

809.58 

16. 

3,254.00 

180.5  + 

0.070286?- 

0.645 

5.863 

17, 

210.003.00 

1.5  + 

67.66761 

63.638 

636.372 

18. 

9,550.00 

10.3  + 

0.2292 

0.379 

37.821 

19, 

147,510.00 

17.8  + 

21.24144 

22.694 

567.346 

20. 

11,800.00 

48.8  + 

0.9322 

0.875 

10.925 

21, 

161,812.00 

42.8  +' 

52.5889 

52.93 

756.13 

22. 

1,308,180.00 

11.5  + 

78.163755 

70.082 

584.008 

23. 

16,666,6661 

5. 

4,994.00 

3,333.334 

Mm.Q>m 

24. 

4,500,000.00 

45.5  -V 

3,597.12 

1,800.00 

1.800.00 

25. 

302,900.00 

i     7.0  + 

60.882 

59.448 

849.252 

80 


DRILL   EXERCISES. 


PERCENTAGE   (page 


225 
June  20,  1873. 

Feb.  2,  1873. 

Oct.  27,  1876. 

July  24,  1875. 

March  19,  1874. 

Sept.  1,  1876. 

May  15,  1879. 

Nov.  22,  1874. 

Sept.  30,  1875. 

Dec.  14,  1871. 

Feb.  27,  1873. 

April  21,  1873. 

Dec.  18,  1876. 

Dec.  6,  1872. 

Oct.  10,  1872. 

June  29,  1872. 

Feb.  24,  1872. 

August  15,  1874. 

March  14,  1872. 

July  29,  1876. 

Dec.  12,  1873. 

Dec.  1,  1875. 

April  10,  1872. 

Nov.  28,  1871. 

July  12,  1873. 


223 
1  0.094 

0.071 

0.295 

0.2191 

0.1381- 

0.285f 

0.448 

0.179L 

0.230^ 

0.002f 

0.075 

0.084^ 

0.3031 

0.0611- 

0.052^ 

0.3351 

0.0141 

0.163^ 

0.0171 

0.280^ 

0.1221 

0.2401 

0.022,1 

0.000^ 

0.097i 


227 

%  0.015§ 

228 

$  0.078^ 

O.Ollf 

0.094| 

0.0491 

0.1471 

0.036tV 

0.073^ 

0.023ii5 

O.Wlj'^ 

0.047§a 

0.190f 

0.074§ 

0.8211 

0.0291 

0.0291 

0.038tV 

0.3841 

O.OOOii 

0.0041 

0.0121 

0.15 

0.014^V 

0.042^5 

0.050/^ 

o.iou 

0.0101 

0.0921 

0.00811 

•0.0431^ 

0.0551 

0.614^ 

0.0024 

0.024* 

0.027/^ 

0.027,V 

0.002H 

0.011^ 

0.04611 

0.3737- 

0.020x\ 

0.14211 

0.0401 

0.4811 

0.00311 

0.1861 

0.000^ 

0.0021 

0.0161 

0.1131 

ANSWERS. 


81 


PERCENTAGE  (page  253). 

229  j  230 

0.005f  $  0.083f 

0.008^  !  0.103i| 

0.0191  [  0.1671 

0.024/^  !  0.0971 

O.OOoff  0.167H 


0.023f| 
0.0441 
0.026H 
0.032yV 

O.OOOtVo 

0.001^9^ 

O.Ollf 

0.033i| 

0.005^ 

0.00611 

O.Oll^^ 

O.OOOff 

0.010^ 

0.001,«3 
0.004lfi 

0.010/:f 

0.002Tk 
O.OOO3V0 
0.000^1^ 
0.0041 


0.2141 
0.866t2^ 

0.056  gL 

0.416}| 
0.004|i 
0.151A 

0.053M 

0.1341 

0.0971 

0.049i-|f 

0.625-lf 

0.025jV 

0.038^^0 

0.012|f 

0.378^0 
0.1531 

0.483t^Jo 
0.186^-0-1 
0.002Jt 


231 

232      1 

8  50.139 

$  53.482  i 

28.911 

31.621 

13.349 

15.129 

51.61 

68.813 

645.555 

668.611 

45.748 

51.467 

7.419 

7.824 

2.406 

4.511 

1,171.708 

1,269.35 

2.38 

2.433 

22.53 

22.764 

227.25 

287.85 

69.845 

93.127 

5.604 

5.915 

36.953 

42.497 

4.001 

4.073 

17.111 

17.681 

1.038 

1.454 

6.949 

7.644 

4.41 

4.465  1 

115.628 

123.887 

314.835 

316.147 

1,861.111 

1,863.344 

10.00 

10.008 

103.364 

107.794 

233 

%  700.247 

327.083 

117.207 

860.21 

4,553.333 

308.702 

13.081 

94.936 

3,753.025 

161.465 

5,854.50 

899.936 

64.486 

894.404 

8.69 

710.276 

UA32 

600.464 

15.107 

908.169 

811.507 

10,223.333 

3,600.60 

997.298 


82 


DRILL  EXERCISES. 


PEKCENTAGE   (page  253). 


Examj 
1 

.les.       234 

%  93.835 

235 

%  51.513 

236 

$  742.566 

2 

73.615 

29.764 

354.299 

3 

7.815 

5.315 

104.999 

4 

40.238 

23.673 

818.322 

5 

836.057 

376.549 

4,640.468 

6 

27.899 

17.382 

278.519 

7 

3.074 

1.536 

10.479 

8 

2.274 

1.611 

93.388 

9 

935.74 

601.39 

3,538.356 

10 

153.26 

54.139 

649.757 

11 

56.297 

23.626 

174.248 

12 

466.352 

230.437 

6,264.631 

13 

39.384 

14.698 

800.944 

14 

16.622 

5.738 

70.476 

15 

124.618 

82.269 

986.167 

16 

2.216 

1.208 

7.550 

17 

214.762 

90.615 

812.092 

18 

1.078 

0.659 

44.315 

19 

68.567 

31.066 

684.514 

20 

2.843 

1.654 

13.688 

21 

169.104 

60.152 

938.603 

22 

245.165 

81.824 

758.82 

23 

21,500.00 

8,532.986 

11,601.17 

24 

22,320.00 

4,522.50 

4,176.421 

25 

189.93 

107.504 

1,054.197 

ANSWERS. 


83 


PERCENTAGE   (page 


238 

5  m.  21  d. 

Iy.l9d. 
5  y.  6  m.  18  d. 
4  y.  2  m.  10  d. 

4  m.  4  d. 
4  y.  7  m.  29  d. 
14  y.  4  m.  20  d. 

4  y.  7  m.  20  d. 
1  y.  3  m.  18  d. 

I  m.  12  d. 

1  y.  8  m.  7  d. 

10  m.  8  d. 

15  y.  9  m.  3  d. 
1  y.  6  d. 

6  m.  8  d. 

16  y.  1  m.  13  d. 
1  m.  24  d. 

7  y.  4  m.  22  d. 

4  y.  18  d. 
6  y.  12  d. 

5  y.  7  m.  10  d. 

II  m.  16  d. 
1  in.  5  d. 

5  m.  13  d. 

11  m.  19  d. 


239 

S  208.148 

297.253 

115.816 

1,078.359 

619.621 

264.489 

18.360 

234.368 

1,119.826 

1,434.117 

205.00 

4,172.673 

2,867.94 

63.653 

589.847 

19.112 

445.909 

145.47 

8,932.075 

15.434 

2,382.507 

157.479 

2,686.567 

590,400.00 

565.89 


253). 

240 

%  585.082 

285.154 

69.89 
578.417 
3,513.909 
186.711 
6.238 
68.258 
2,478.667 
558.497 
139.72 
4,980.784 
529.65 
57.23 
807.913 
4.873 
689.891 
32.841 
579.796 
9.216 
720.766 
527.208 
9,781.545 
3,599.40 
827.972 


I    241 
$  593.582 

278.989 

78.874 

I  657.288 

3,444.152 

201.653 

4.96 

78.163 

2,203.491 

557.709 

130.608 

5,181.927 

626.971 

55.619 

814.645 

'4.03 

683.306 

37.188 

583.171 

8.589 

707.89 

441.554 

8,430.913 

3,590.027 

815.892 


84 


DRILL  EXERCISES. 


PERCENTAGE 

(page   253). 

Examples. 
1. 

242 
%  46.498 

243 

%  54.998 

244 

%  18.402 

245 
%  621.678 

2. 

26.411 

20.246 

4.682 

300.718 

3. 

11.634 

20.618 

2.511 

87.997 

4. 

48.092 

126.963 

9.405 

695.975 

5. 

555.848 

486.091 

87.888 

3,912.112 

6. 

38.427 

53.369 

7.415 

232.665 

7. 

4.074 

2.796 

0.472 

8.562 

8. 

2.337 

12.242 

0.802 

79.698 

9. 

846.509 

571.333 

259.25 

2,790.75 

10. 

2.371 

1.583 

2.80 

557.28 

11. 

19.592 

10.48 

4.656 

145.544 

12. 

218.073 

419.216 

66.60 

5,333.40 

13. 

63.429 

160.75 

0.92 

689.48 

14. 

5.131 

3.52 

0.182 

60.568 

15. 

35.415 

A2.U1 

37.308 

812.752 

16. 

2.478 

1.635 

0.427 

6.081 

17. 

16.704 

10.119 

17.694 

682.316 

18. 

1.012 

5.359 

0.278 

37.922 

19. 

6.869 

10.244 

7.146 

582.894 

20. 

i          3.211 

2.584 

0.642 

11.158 

21. 

!      101.17 

88.294 

1            2.831 

806.229 

22. 

212.536 

126.882 

1.526 

652.564 

23. 

1,569.087 

218.455 

1,902.777 

8,097.223 

24. 

9.973 

0.60 

1         40.00 

1 

3,560.00 

25. 

92.808 

80.728 

i         40.285 

868.415 

ANSWERS. 


85 


PERCENTAGE  (page  253). 

246 
S  662.951 


ROOTS 


308.952 

95.826 

734.77 

4,076.779 

251.744 

9.299 

85.623 

3,213.909 

561.953 

152.564 

5,536.568 

693.172 

60.871 

897.318 

6.749 

710.79 

39.944 

600.957 

12.302 

811.494 

654.853 

10,233.668 

3,602.401 

944.594 


247 

25.4558.. 

21.7485.. 

28.8963.. 

24.3310.. 

26.9443.. 

30.8868.. 

19.1572.. 

17.0000 

25.1992.. 

22.1133.. 

19.3649.. 

26.2488.. 

27.6405.. 

29.4108.. 

28.2134.. 

18.6279.. 

24.2074.. 

25.0399.. 

19.8746.. 

27.1661.. 

24.0624.. 

22.0454.. 

30.6920.. 

16.6733.. 

24.2280.. 


(page  276). 

248 

200.3... 

186.9... 
166.9... 
198.4... 
208.5... 
179.4... 
157.4... 
141.7... 
186.3... 
179.4... 
196.2... 
154.2... 
170.0... 
211.2... 
161.1... 
185.7... 
116.9... 
195.0... 
186.1... 
141.5... 
174.4... 
152.4... 
194.7... 
182.5..^..^- 

^  ^  C>'sr 


K 


T-^C? 


Q.  A 


UNIVERSITY  OF  CALIFORNIA  LIBRARY 


